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Finding the Fourth Proportional to 10,474, 15,714.24 and 3,454.08

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Solution

The fourth proportional to 10,474, 15,714.24 and 3,454.08 is: 5,182.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474 : 15,714.24 = 3,454.08 : x
  2. Step 2: Convert to fraction form
    10,474/15,714.24 = 3,454.08/x
  3. Step 3: Cross multiply
    10,474x = 15,714.24 × 3,454.08
  4. Step 4: Simplify right side
    10,474x = 54,278,242.10
  5. Step 5: Solve for x
    x = 54,278,242.10/10,474
  6. Step 6: Final answer
    x = 5,182.19

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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.