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Finding the Fourth Proportional to 2,589.48, 3,883.05 and 945

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Solution

The fourth proportional to 2,589.48, 3,883.05 and 945 is: 1,417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.48 : 3,883.05 = 945 : x
  2. Step 2: Convert to fraction form
    2,589.48/3,883.05 = 945/x
  3. Step 3: Cross multiply
    2,589.48x = 3,883.05 × 945
  4. Step 4: Simplify right side
    2,589.48x = 3,669,482.25
  5. Step 5: Solve for x
    x = 3,669,482.25/2,589.48
  6. Step 6: Final answer
    x = 1,417.07

Related Problems

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Half scale
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Double scale
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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.