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Finding the Fourth Proportional to 10,475.80, 15,718.82 and 4,929.70

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Solution

The fourth proportional to 10,475.80, 15,718.82 and 4,929.70 is: 7,396.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.80 : 15,718.82 = 4,929.70 : x
  2. Step 2: Convert to fraction form
    10,475.80/15,718.82 = 4,929.70/x
  3. Step 3: Cross multiply
    10,475.80x = 15,718.82 × 4,929.70
  4. Step 4: Simplify right side
    10,475.80x = 77,489,066.95
  5. Step 5: Solve for x
    x = 77,489,066.95/10,475.80
  6. Step 6: Final answer
    x = 7,396.96

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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.