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Finding the Fourth Proportional to 6,689.79, 10,031.38 and 3,917.16

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Solution

The fourth proportional to 6,689.79, 10,031.38 and 3,917.16 is: 5,873.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.79 : 10,031.38 = 3,917.16 : x
  2. Step 2: Convert to fraction form
    6,689.79/10,031.38 = 3,917.16/x
  3. Step 3: Cross multiply
    6,689.79x = 10,031.38 × 3,917.16
  4. Step 4: Simplify right side
    6,689.79x = 39,294,500.90
  5. Step 5: Solve for x
    x = 39,294,500.90/6,689.79
  6. Step 6: Final answer
    x = 5,873.80

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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.