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Finding the Fourth Proportional to 4,761.48, 7,128.48 and 2,781.12

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Solution

The fourth proportional to 4,761.48, 7,128.48 and 2,781.12 is: 4,163.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.48 : 7,128.48 = 2,781.12 : x
  2. Step 2: Convert to fraction form
    4,761.48/7,128.48 = 2,781.12/x
  3. Step 3: Cross multiply
    4,761.48x = 7,128.48 × 2,781.12
  4. Step 4: Simplify right side
    4,761.48x = 19,825,158.30
  5. Step 5: Solve for x
    x = 19,825,158.30/4,761.48
  6. Step 6: Final answer
    x = 4,163.65

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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.