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Finding the Fourth Proportional to 10,487.50, 14,475.99 and 6,761.50

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Solution

The fourth proportional to 10,487.50, 14,475.99 and 6,761.50 is: 9,332.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,487.50 : 14,475.99 = 6,761.50 : x
  2. Step 2: Convert to fraction form
    10,487.50/14,475.99 = 6,761.50/x
  3. Step 3: Cross multiply
    10,487.50x = 14,475.99 × 6,761.50
  4. Step 4: Simplify right side
    10,487.50x = 97,879,406.39
  5. Step 5: Solve for x
    x = 97,879,406.39/10,487.50
  6. Step 6: Final answer
    x = 9,332.96

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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.