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Finding the Fourth Proportional to 12,787.60, 17,655 and 8,761.24

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Solution

The fourth proportional to 12,787.60, 17,655 and 8,761.24 is: 12,096.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,787.60 : 17,655 = 8,761.24 : x
  2. Step 2: Convert to fraction form
    12,787.60/17,655 = 8,761.24/x
  3. Step 3: Cross multiply
    12,787.60x = 17,655 × 8,761.24
  4. Step 4: Simplify right side
    12,787.60x = 154,679,692.20
  5. Step 5: Solve for x
    x = 154,679,692.20/12,787.60
  6. Step 6: Final answer
    x = 12,096.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.