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Finding the Fourth Proportional to 4,761.76, 7,146 and 2,129.92

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Solution

The fourth proportional to 4,761.76, 7,146 and 2,129.92 is: 3,196.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.76 : 7,146 = 2,129.92 : x
  2. Step 2: Convert to fraction form
    4,761.76/7,146 = 2,129.92/x
  3. Step 3: Cross multiply
    4,761.76x = 7,146 × 2,129.92
  4. Step 4: Simplify right side
    4,761.76x = 15,220,408.32
  5. Step 5: Solve for x
    x = 15,220,408.32/4,761.76
  6. Step 6: Final answer
    x = 3,196.38

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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.