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Finding the Fourth Proportional to 16,432.25, 24,655.07 and 7,661.78

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Solution

The fourth proportional to 16,432.25, 24,655.07 and 7,661.78 is: 11,495.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,432.25 : 24,655.07 = 7,661.78 : x
  2. Step 2: Convert to fraction form
    16,432.25/24,655.07 = 7,661.78/x
  3. Step 3: Cross multiply
    16,432.25x = 24,655.07 × 7,661.78
  4. Step 4: Simplify right side
    16,432.25x = 188,901,618.10
  5. Step 5: Solve for x
    x = 188,901,618.10/16,432.25
  6. Step 6: Final answer
    x = 11,495.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.