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Finding the Fourth Proportional to 15,687.85, 21,649.14 and 8,614.12

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Solution

The fourth proportional to 15,687.85, 21,649.14 and 8,614.12 is: 11,887.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,687.85 : 21,649.14 = 8,614.12 : x
  2. Step 2: Convert to fraction form
    15,687.85/21,649.14 = 8,614.12/x
  3. Step 3: Cross multiply
    15,687.85x = 21,649.14 × 8,614.12
  4. Step 4: Simplify right side
    15,687.85x = 186,488,289.86
  5. Step 5: Solve for x
    x = 186,488,289.86/15,687.85
  6. Step 6: Final answer
    x = 11,887.43

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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.