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Finding the Fourth Proportional to 10,590.80, 15,877.89 and 6,687

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Solution

The fourth proportional to 10,590.80, 15,877.89 and 6,687 is: 10,025.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,590.80 : 15,877.89 = 6,687 : x
  2. Step 2: Convert to fraction form
    10,590.80/15,877.89 = 6,687/x
  3. Step 3: Cross multiply
    10,590.80x = 15,877.89 × 6,687
  4. Step 4: Simplify right side
    10,590.80x = 106,175,450.43
  5. Step 5: Solve for x
    x = 106,175,450.43/10,590.80
  6. Step 6: Final answer
    x = 10,025.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.