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Finding the Fourth Proportional to 84.84, 126.47 and 83.52

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Solution

The fourth proportional to 84.84, 126.47 and 83.52 is: 124.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.84 : 126.47 = 83.52 : x
  2. Step 2: Convert to fraction form
    84.84/126.47 = 83.52/x
  3. Step 3: Cross multiply
    84.84x = 126.47 × 83.52
  4. Step 4: Simplify right side
    84.84x = 10,562.36
  5. Step 5: Solve for x
    x = 10,562.36/84.84
  6. Step 6: Final answer
    x = 124.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.