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Finding the Fourth Proportional to 10,481, 15,718.38 and 4,931.24

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Solution

The fourth proportional to 10,481, 15,718.38 and 4,931.24 is: 7,395.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,481 : 15,718.38 = 4,931.24 : x
  2. Step 2: Convert to fraction form
    10,481/15,718.38 = 4,931.24/x
  3. Step 3: Cross multiply
    10,481x = 15,718.38 × 4,931.24
  4. Step 4: Simplify right side
    10,481x = 77,511,104.19
  5. Step 5: Solve for x
    x = 77,511,104.19/10,481
  6. Step 6: Final answer
    x = 7,395.39

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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.