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Finding the Fourth Proportional to 38.86, 52.93 and 38.10

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Solution

The fourth proportional to 38.86, 52.93 and 38.10 is: 51.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.86 : 52.93 = 38.10 : x
  2. Step 2: Convert to fraction form
    38.86/52.93 = 38.10/x
  3. Step 3: Cross multiply
    38.86x = 52.93 × 38.10
  4. Step 4: Simplify right side
    38.86x = 2,016.58
  5. Step 5: Solve for x
    x = 2,016.58/38.86
  6. Step 6: Final answer
    x = 51.90

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.