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Finding the Fourth Proportional to 8,507.60, 12,761.40 and 2,664.80

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Solution

The fourth proportional to 8,507.60, 12,761.40 and 2,664.80 is: 3,997.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.60 : 12,761.40 = 2,664.80 : x
  2. Step 2: Convert to fraction form
    8,507.60/12,761.40 = 2,664.80/x
  3. Step 3: Cross multiply
    8,507.60x = 12,761.40 × 2,664.80
  4. Step 4: Simplify right side
    8,507.60x = 34,006,578.72
  5. Step 5: Solve for x
    x = 34,006,578.72/8,507.60
  6. Step 6: Final answer
    x = 3,997.20

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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.