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Finding the Fourth Proportional to 39.13, 53.67 and 38.77

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Solution

The fourth proportional to 39.13, 53.67 and 38.77 is: 53.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.13 : 53.67 = 38.77 : x
  2. Step 2: Convert to fraction form
    39.13/53.67 = 38.77/x
  3. Step 3: Cross multiply
    39.13x = 53.67 × 38.77
  4. Step 4: Simplify right side
    39.13x = 2,080.80
  5. Step 5: Solve for x
    x = 2,080.80/39.13
  6. Step 6: Final answer
    x = 53.18

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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.