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Finding the Fourth Proportional to 10,200.72, 14,079.24 and 6,474

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Solution

The fourth proportional to 10,200.72, 14,079.24 and 6,474 is: 8,935.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.72 : 14,079.24 = 6,474 : x
  2. Step 2: Convert to fraction form
    10,200.72/14,079.24 = 6,474/x
  3. Step 3: Cross multiply
    10,200.72x = 14,079.24 × 6,474
  4. Step 4: Simplify right side
    10,200.72x = 91,148,999.76
  5. Step 5: Solve for x
    x = 91,148,999.76/10,200.72
  6. Step 6: Final answer
    x = 8,935.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.