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Finding the Fourth Proportional to 2,589.65, 3,885.03 and 946.19

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Solution

The fourth proportional to 2,589.65, 3,885.03 and 946.19 is: 1,419.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.65 : 3,885.03 = 946.19 : x
  2. Step 2: Convert to fraction form
    2,589.65/3,885.03 = 946.19/x
  3. Step 3: Cross multiply
    2,589.65x = 3,885.03 × 946.19
  4. Step 4: Simplify right side
    2,589.65x = 3,675,964.46
  5. Step 5: Solve for x
    x = 3,675,964.46/2,589.65
  6. Step 6: Final answer
    x = 1,419.49

Related Problems

Find fourth proportional to 1,294.82, 1,942.51 and 473.09
Half scale
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Double scale
Find fourth proportional to 2,590.65, 3,886.53 and 947.19
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.