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Finding the Fourth Proportional to 8,432, 12,642.24 and 5,146.24

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Solution

The fourth proportional to 8,432, 12,642.24 and 5,146.24 is: 7,715.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,432 : 12,642.24 = 5,146.24 : x
  2. Step 2: Convert to fraction form
    8,432/12,642.24 = 5,146.24/x
  3. Step 3: Cross multiply
    8,432x = 12,642.24 × 5,146.24
  4. Step 4: Simplify right side
    8,432x = 65,060,001.18
  5. Step 5: Solve for x
    x = 65,060,001.18/8,432
  6. Step 6: Final answer
    x = 7,715.84

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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.