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Finding the Fourth Proportional to 39.18, 53.85 and 38.16

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Solution

The fourth proportional to 39.18, 53.85 and 38.16 is: 52.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.18 : 53.85 = 38.16 : x
  2. Step 2: Convert to fraction form
    39.18/53.85 = 38.16/x
  3. Step 3: Cross multiply
    39.18x = 53.85 × 38.16
  4. Step 4: Simplify right side
    39.18x = 2,054.92
  5. Step 5: Solve for x
    x = 2,054.92/39.18
  6. Step 6: Final answer
    x = 52.45

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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.