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Finding the Fourth Proportional to 12,432.82, 18,649.14 and 5,037.16

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Solution

The fourth proportional to 12,432.82, 18,649.14 and 5,037.16 is: 7,555.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,432.82 : 18,649.14 = 5,037.16 : x
  2. Step 2: Convert to fraction form
    12,432.82/18,649.14 = 5,037.16/x
  3. Step 3: Cross multiply
    12,432.82x = 18,649.14 × 5,037.16
  4. Step 4: Simplify right side
    12,432.82x = 93,938,702.04
  5. Step 5: Solve for x
    x = 93,938,702.04/12,432.82
  6. Step 6: Final answer
    x = 7,555.70

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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.