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Finding the Fourth Proportional to 3,869.12, 5,803.67 and 947.39

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Solution

The fourth proportional to 3,869.12, 5,803.67 and 947.39 is: 1,421.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.12 : 5,803.67 = 947.39 : x
  2. Step 2: Convert to fraction form
    3,869.12/5,803.67 = 947.39/x
  3. Step 3: Cross multiply
    3,869.12x = 5,803.67 × 947.39
  4. Step 4: Simplify right side
    3,869.12x = 5,498,305.17
  5. Step 5: Solve for x
    x = 5,498,305.17/3,869.12
  6. Step 6: Final answer
    x = 1,421.08

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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.