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Finding the Fourth Proportional to 8,531.64, 12,801.36 and 3,852.90

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Solution

The fourth proportional to 8,531.64, 12,801.36 and 3,852.90 is: 5,781.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531.64 : 12,801.36 = 3,852.90 : x
  2. Step 2: Convert to fraction form
    8,531.64/12,801.36 = 3,852.90/x
  3. Step 3: Cross multiply
    8,531.64x = 12,801.36 × 3,852.90
  4. Step 4: Simplify right side
    8,531.64x = 49,322,359.94
  5. Step 5: Solve for x
    x = 49,322,359.94/8,531.64
  6. Step 6: Final answer
    x = 5,781.11

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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.