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Finding the Fourth Proportional to 6,687, 10,020.78 and 3,761.28

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Solution

The fourth proportional to 6,687, 10,020.78 and 3,761.28 is: 5,636.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,687 : 10,020.78 = 3,761.28 : x
  2. Step 2: Convert to fraction form
    6,687/10,020.78 = 3,761.28/x
  3. Step 3: Cross multiply
    6,687x = 10,020.78 × 3,761.28
  4. Step 4: Simplify right side
    6,687x = 37,690,959.40
  5. Step 5: Solve for x
    x = 37,690,959.40/6,687
  6. Step 6: Final answer
    x = 5,636.45

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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.