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Finding the Fourth Proportional to 3,318.90, 4,978.47 and 1,127.86

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Solution

The fourth proportional to 3,318.90, 4,978.47 and 1,127.86 is: 1,691.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318.90 : 4,978.47 = 1,127.86 : x
  2. Step 2: Convert to fraction form
    3,318.90/4,978.47 = 1,127.86/x
  3. Step 3: Cross multiply
    3,318.90x = 4,978.47 × 1,127.86
  4. Step 4: Simplify right side
    3,318.90x = 5,615,017.17
  5. Step 5: Solve for x
    x = 5,615,017.17/3,318.90
  6. Step 6: Final answer
    x = 1,691.83

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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.