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Finding the Fourth Proportional to 7,070.43, 9,757.22 and 3,926.64

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Solution

The fourth proportional to 7,070.43, 9,757.22 and 3,926.64 is: 5,418.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,070.43 : 9,757.22 = 3,926.64 : x
  2. Step 2: Convert to fraction form
    7,070.43/9,757.22 = 3,926.64/x
  3. Step 3: Cross multiply
    7,070.43x = 9,757.22 × 3,926.64
  4. Step 4: Simplify right side
    7,070.43x = 38,313,070.71
  5. Step 5: Solve for x
    x = 38,313,070.71/7,070.43
  6. Step 6: Final answer
    x = 5,418.78

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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.