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Finding the Fourth Proportional to 53.81, 81.02 and 47.43

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Solution

The fourth proportional to 53.81, 81.02 and 47.43 is: 71.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.81 : 81.02 = 47.43 : x
  2. Step 2: Convert to fraction form
    53.81/81.02 = 47.43/x
  3. Step 3: Cross multiply
    53.81x = 81.02 × 47.43
  4. Step 4: Simplify right side
    53.81x = 3,842.54
  5. Step 5: Solve for x
    x = 3,842.54/53.81
  6. Step 6: Final answer
    x = 71.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.