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Finding the Fourth Proportional to 2,757.76, 4,138.56 and 1,113.92

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Solution

The fourth proportional to 2,757.76, 4,138.56 and 1,113.92 is: 1,671.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,757.76 : 4,138.56 = 1,113.92 : x
  2. Step 2: Convert to fraction form
    2,757.76/4,138.56 = 1,113.92/x
  3. Step 3: Cross multiply
    2,757.76x = 4,138.56 × 1,113.92
  4. Step 4: Simplify right side
    2,757.76x = 4,610,024.76
  5. Step 5: Solve for x
    x = 4,610,024.76/2,757.76
  6. Step 6: Final answer
    x = 1,671.66

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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.