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Finding the Fourth Proportional to 3,319.12, 4,978.80 and 1,127.92

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Solution

The fourth proportional to 3,319.12, 4,978.80 and 1,127.92 is: 1,691.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,319.12 : 4,978.80 = 1,127.92 : x
  2. Step 2: Convert to fraction form
    3,319.12/4,978.80 = 1,127.92/x
  3. Step 3: Cross multiply
    3,319.12x = 4,978.80 × 1,127.92
  4. Step 4: Simplify right side
    3,319.12x = 5,615,688.10
  5. Step 5: Solve for x
    x = 5,615,688.10/3,319.12
  6. Step 6: Final answer
    x = 1,691.92

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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.