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Finding the Fourth Proportional to 39.34, 53.92 and 39.28

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Solution

The fourth proportional to 39.34, 53.92 and 39.28 is: 53.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.34 : 53.92 = 39.28 : x
  2. Step 2: Convert to fraction form
    39.34/53.92 = 39.28/x
  3. Step 3: Cross multiply
    39.34x = 53.92 × 39.28
  4. Step 4: Simplify right side
    39.34x = 2,117.95
  5. Step 5: Solve for x
    x = 2,117.95/39.34
  6. Step 6: Final answer
    x = 53.83

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.