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Finding the Fourth Proportional to 62.59, 93.89 and 19.84

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Solution

The fourth proportional to 62.59, 93.89 and 19.84 is: 29.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.59 : 93.89 = 19.84 : x
  2. Step 2: Convert to fraction form
    62.59/93.89 = 19.84/x
  3. Step 3: Cross multiply
    62.59x = 93.89 × 19.84
  4. Step 4: Simplify right side
    62.59x = 1,862.78
  5. Step 5: Solve for x
    x = 1,862.78/62.59
  6. Step 6: Final answer
    x = 29.76

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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.