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Finding the Fourth Proportional to 15,687.62, 21,648.96 and 8,614.50

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Solution

The fourth proportional to 15,687.62, 21,648.96 and 8,614.50 is: 11,888.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,687.62 : 21,648.96 = 8,614.50 : x
  2. Step 2: Convert to fraction form
    15,687.62/21,648.96 = 8,614.50/x
  3. Step 3: Cross multiply
    15,687.62x = 21,648.96 × 8,614.50
  4. Step 4: Simplify right side
    15,687.62x = 186,494,922.85
  5. Step 5: Solve for x
    x = 186,494,922.85/15,687.62
  6. Step 6: Final answer
    x = 11,888.03

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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.