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Finding the Fourth Proportional to 4,787.28, 7,179.96 and 2,564.64

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Solution

The fourth proportional to 4,787.28, 7,179.96 and 2,564.64 is: 3,846.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,787.28 : 7,179.96 = 2,564.64 : x
  2. Step 2: Convert to fraction form
    4,787.28/7,179.96 = 2,564.64/x
  3. Step 3: Cross multiply
    4,787.28x = 7,179.96 × 2,564.64
  4. Step 4: Simplify right side
    4,787.28x = 18,414,012.61
  5. Step 5: Solve for x
    x = 18,414,012.61/4,787.28
  6. Step 6: Final answer
    x = 3,846.45

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1.5x scale

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.