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Finding the Fourth Proportional to 10,787.52, 16,171.08 and 4,940.64

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Solution

The fourth proportional to 10,787.52, 16,171.08 and 4,940.64 is: 7,406.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,787.52 : 16,171.08 = 4,940.64 : x
  2. Step 2: Convert to fraction form
    10,787.52/16,171.08 = 4,940.64/x
  3. Step 3: Cross multiply
    10,787.52x = 16,171.08 × 4,940.64
  4. Step 4: Simplify right side
    10,787.52x = 79,895,484.69
  5. Step 5: Solve for x
    x = 79,895,484.69/10,787.52
  6. Step 6: Final answer
    x = 7,406.29

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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.