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Finding the Fourth Proportional to 8,488.43, 12,708 and 5,191.46

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Solution

The fourth proportional to 8,488.43, 12,708 and 5,191.46 is: 7,772.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,488.43 : 12,708 = 5,191.46 : x
  2. Step 2: Convert to fraction form
    8,488.43/12,708 = 5,191.46/x
  3. Step 3: Cross multiply
    8,488.43x = 12,708 × 5,191.46
  4. Step 4: Simplify right side
    8,488.43x = 65,973,010.14
  5. Step 5: Solve for x
    x = 65,973,010.14/8,488.43
  6. Step 6: Final answer
    x = 7,772.11

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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.