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Finding the Fourth Proportional to 53.97, 74.51 and 36.81

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Solution

The fourth proportional to 53.97, 74.51 and 36.81 is: 50.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.97 : 74.51 = 36.81 : x
  2. Step 2: Convert to fraction form
    53.97/74.51 = 36.81/x
  3. Step 3: Cross multiply
    53.97x = 74.51 × 36.81
  4. Step 4: Simplify right side
    53.97x = 2,742.53
  5. Step 5: Solve for x
    x = 2,742.53/53.97
  6. Step 6: Final answer
    x = 50.82

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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.