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Finding the Fourth Proportional to 8,577.80, 12,854.40 and 4,872.20

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Solution

The fourth proportional to 8,577.80, 12,854.40 and 4,872.20 is: 7,301.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.80 : 12,854.40 = 4,872.20 : x
  2. Step 2: Convert to fraction form
    8,577.80/12,854.40 = 4,872.20/x
  3. Step 3: Cross multiply
    8,577.80x = 12,854.40 × 4,872.20
  4. Step 4: Simplify right side
    8,577.80x = 62,629,207.68
  5. Step 5: Solve for x
    x = 62,629,207.68/8,577.80
  6. Step 6: Final answer
    x = 7,301.31

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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.