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Finding the Fourth Proportional to 8,577.65, 12,863.82 and 3,029.72

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Solution

The fourth proportional to 8,577.65, 12,863.82 and 3,029.72 is: 4,543.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.65 : 12,863.82 = 3,029.72 : x
  2. Step 2: Convert to fraction form
    8,577.65/12,863.82 = 3,029.72/x
  3. Step 3: Cross multiply
    8,577.65x = 12,863.82 × 3,029.72
  4. Step 4: Simplify right side
    8,577.65x = 38,973,772.73
  5. Step 5: Solve for x
    x = 38,973,772.73/8,577.65
  6. Step 6: Final answer
    x = 4,543.64

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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.