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Finding the Fourth Proportional to 3,319.24, 4,978.32 and 1,127.92

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Solution

The fourth proportional to 3,319.24, 4,978.32 and 1,127.92 is: 1,691.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,319.24 : 4,978.32 = 1,127.92 : x
  2. Step 2: Convert to fraction form
    3,319.24/4,978.32 = 1,127.92/x
  3. Step 3: Cross multiply
    3,319.24x = 4,978.32 × 1,127.92
  4. Step 4: Simplify right side
    3,319.24x = 5,615,146.69
  5. Step 5: Solve for x
    x = 5,615,146.69/3,319.24
  6. Step 6: Final answer
    x = 1,691.70

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1.5x scale

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.