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Finding the Fourth Proportional to 10,761.87, 14,859.68 and 8,675.31

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Solution

The fourth proportional to 10,761.87, 14,859.68 and 8,675.31 is: 11,978.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.87 : 14,859.68 = 8,675.31 : x
  2. Step 2: Convert to fraction form
    10,761.87/14,859.68 = 8,675.31/x
  3. Step 3: Cross multiply
    10,761.87x = 14,859.68 × 8,675.31
  4. Step 4: Simplify right side
    10,761.87x = 128,912,287.12
  5. Step 5: Solve for x
    x = 128,912,287.12/10,761.87
  6. Step 6: Final answer
    x = 11,978.61

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1.5x scale

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.