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Finding the Fourth Proportional to 37.57, 51.80 and 28.34

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Solution

The fourth proportional to 37.57, 51.80 and 28.34 is: 39.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.57 : 51.80 = 28.34 : x
  2. Step 2: Convert to fraction form
    37.57/51.80 = 28.34/x
  3. Step 3: Cross multiply
    37.57x = 51.80 × 28.34
  4. Step 4: Simplify right side
    37.57x = 1,468.01
  5. Step 5: Solve for x
    x = 1,468.01/37.57
  6. Step 6: Final answer
    x = 39.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.