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Finding the Fourth Proportional to 8,643.62, 12,970.48 and 5,685.72

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Solution

The fourth proportional to 8,643.62, 12,970.48 and 5,685.72 is: 8,531.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,643.62 : 12,970.48 = 5,685.72 : x
  2. Step 2: Convert to fraction form
    8,643.62/12,970.48 = 5,685.72/x
  3. Step 3: Cross multiply
    8,643.62x = 12,970.48 × 5,685.72
  4. Step 4: Simplify right side
    8,643.62x = 73,746,517.55
  5. Step 5: Solve for x
    x = 73,746,517.55/8,643.62
  6. Step 6: Final answer
    x = 8,531.90

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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.