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Finding the Fourth Proportional to 4,761.92, 7,142.56 and 1,475.20

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Solution

The fourth proportional to 4,761.92, 7,142.56 and 1,475.20 is: 2,212.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.92 : 7,142.56 = 1,475.20 : x
  2. Step 2: Convert to fraction form
    4,761.92/7,142.56 = 1,475.20/x
  3. Step 3: Cross multiply
    4,761.92x = 7,142.56 × 1,475.20
  4. Step 4: Simplify right side
    4,761.92x = 10,536,704.51
  5. Step 5: Solve for x
    x = 10,536,704.51/4,761.92
  6. Step 6: Final answer
    x = 2,212.70

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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.