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Finding the Fourth Proportional to 52.57, 79.15 and 37.47

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Solution

The fourth proportional to 52.57, 79.15 and 37.47 is: 56.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.57 : 79.15 = 37.47 : x
  2. Step 2: Convert to fraction form
    52.57/79.15 = 37.47/x
  3. Step 3: Cross multiply
    52.57x = 79.15 × 37.47
  4. Step 4: Simplify right side
    52.57x = 2,965.75
  5. Step 5: Solve for x
    x = 2,965.75/52.57
  6. Step 6: Final answer
    x = 56.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.