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Finding the Fourth Proportional to 6,689.80, 10,031.28 and 3,917.26

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Solution

The fourth proportional to 6,689.80, 10,031.28 and 3,917.26 is: 5,873.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.80 : 10,031.28 = 3,917.26 : x
  2. Step 2: Convert to fraction form
    6,689.80/10,031.28 = 3,917.26/x
  3. Step 3: Cross multiply
    6,689.80x = 10,031.28 × 3,917.26
  4. Step 4: Simplify right side
    6,689.80x = 39,295,131.89
  5. Step 5: Solve for x
    x = 39,295,131.89/6,689.80
  6. Step 6: Final answer
    x = 5,873.89

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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.