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Finding the Fourth Proportional to 10,787.64, 16,187.64 and 5,857.68

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Solution

The fourth proportional to 10,787.64, 16,187.64 and 5,857.68 is: 8,789.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,787.64 : 16,187.64 = 5,857.68 : x
  2. Step 2: Convert to fraction form
    10,787.64/16,187.64 = 5,857.68/x
  3. Step 3: Cross multiply
    10,787.64x = 16,187.64 × 5,857.68
  4. Step 4: Simplify right side
    10,787.64x = 94,822,015.08
  5. Step 5: Solve for x
    x = 94,822,015.08/10,787.64
  6. Step 6: Final answer
    x = 8,789.88

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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.