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Finding the Fourth Proportional to 8,590.74, 12,892.05 and 3,397.02

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Solution

The fourth proportional to 8,590.74, 12,892.05 and 3,397.02 is: 5,097.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.74 : 12,892.05 = 3,397.02 : x
  2. Step 2: Convert to fraction form
    8,590.74/12,892.05 = 3,397.02/x
  3. Step 3: Cross multiply
    8,590.74x = 12,892.05 × 3,397.02
  4. Step 4: Simplify right side
    8,590.74x = 43,794,551.69
  5. Step 5: Solve for x
    x = 43,794,551.69/8,590.74
  6. Step 6: Final answer
    x = 5,097.88

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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.