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Finding the Fourth Proportional to 3,471.72, 4,787.28 and 2,969.52

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Solution

The fourth proportional to 3,471.72, 4,787.28 and 2,969.52 is: 4,094.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.72 : 4,787.28 = 2,969.52 : x
  2. Step 2: Convert to fraction form
    3,471.72/4,787.28 = 2,969.52/x
  3. Step 3: Cross multiply
    3,471.72x = 4,787.28 × 2,969.52
  4. Step 4: Simplify right side
    3,471.72x = 14,215,923.71
  5. Step 5: Solve for x
    x = 14,215,923.71/3,471.72
  6. Step 6: Final answer
    x = 4,094.78

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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.