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Finding the Fourth Proportional to 52.38, 78.54 and 19.85

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Solution

The fourth proportional to 52.38, 78.54 and 19.85 is: 29.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.38 : 78.54 = 19.85 : x
  2. Step 2: Convert to fraction form
    52.38/78.54 = 19.85/x
  3. Step 3: Cross multiply
    52.38x = 78.54 × 19.85
  4. Step 4: Simplify right side
    52.38x = 1,559.02
  5. Step 5: Solve for x
    x = 1,559.02/52.38
  6. Step 6: Final answer
    x = 29.77

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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.