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Finding the Fourth Proportional to 84.18, 126.21 and 37.83

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Solution

The fourth proportional to 84.18, 126.21 and 37.83 is: 56.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.18 : 126.21 = 37.83 : x
  2. Step 2: Convert to fraction form
    84.18/126.21 = 37.83/x
  3. Step 3: Cross multiply
    84.18x = 126.21 × 37.83
  4. Step 4: Simplify right side
    84.18x = 4,774.52
  5. Step 5: Solve for x
    x = 4,774.52/84.18
  6. Step 6: Final answer
    x = 56.72

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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.