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Finding the Fourth Proportional to 39.28, 53.87 and 36.40

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Solution

The fourth proportional to 39.28, 53.87 and 36.40 is: 49.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.28 : 53.87 = 36.40 : x
  2. Step 2: Convert to fraction form
    39.28/53.87 = 36.40/x
  3. Step 3: Cross multiply
    39.28x = 53.87 × 36.40
  4. Step 4: Simplify right side
    39.28x = 1,960.87
  5. Step 5: Solve for x
    x = 1,960.87/39.28
  6. Step 6: Final answer
    x = 49.92

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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.