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Finding the Fourth Proportional to 3,318.74, 4,978.56 and 1,126.88

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Solution

The fourth proportional to 3,318.74, 4,978.56 and 1,126.88 is: 1,690.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318.74 : 4,978.56 = 1,126.88 : x
  2. Step 2: Convert to fraction form
    3,318.74/4,978.56 = 1,126.88/x
  3. Step 3: Cross multiply
    3,318.74x = 4,978.56 × 1,126.88
  4. Step 4: Simplify right side
    3,318.74x = 5,610,239.69
  5. Step 5: Solve for x
    x = 5,610,239.69/3,318.74
  6. Step 6: Final answer
    x = 1,690.47

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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.