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Finding the Fourth Proportional to 52.09, 78.10 and 38.43

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Solution

The fourth proportional to 52.09, 78.10 and 38.43 is: 57.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.09 : 78.10 = 38.43 : x
  2. Step 2: Convert to fraction form
    52.09/78.10 = 38.43/x
  3. Step 3: Cross multiply
    52.09x = 78.10 × 38.43
  4. Step 4: Simplify right side
    52.09x = 3,001.29
  5. Step 5: Solve for x
    x = 3,001.29/52.09
  6. Step 6: Final answer
    x = 57.62

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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.