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Finding the Fourth Proportional to 8,577.52, 12,869.70 and 4,193.80

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Solution

The fourth proportional to 8,577.52, 12,869.70 and 4,193.80 is: 6,292.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.52 : 12,869.70 = 4,193.80 : x
  2. Step 2: Convert to fraction form
    8,577.52/12,869.70 = 4,193.80/x
  3. Step 3: Cross multiply
    8,577.52x = 12,869.70 × 4,193.80
  4. Step 4: Simplify right side
    8,577.52x = 53,972,947.86
  5. Step 5: Solve for x
    x = 53,972,947.86/8,577.52
  6. Step 6: Final answer
    x = 6,292.37

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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.