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Finding the Fourth Proportional to 10,496.50, 15,728.88 and 6,331.88

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Solution

The fourth proportional to 10,496.50, 15,728.88 and 6,331.88 is: 9,488.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.50 : 15,728.88 = 6,331.88 : x
  2. Step 2: Convert to fraction form
    10,496.50/15,728.88 = 6,331.88/x
  3. Step 3: Cross multiply
    10,496.50x = 15,728.88 × 6,331.88
  4. Step 4: Simplify right side
    10,496.50x = 99,593,380.69
  5. Step 5: Solve for x
    x = 99,593,380.69/10,496.50
  6. Step 6: Final answer
    x = 9,488.25

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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.