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Finding the Fourth Proportional to 53.03, 79.12 and 47.92

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Solution

The fourth proportional to 53.03, 79.12 and 47.92 is: 71.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.03 : 79.12 = 47.92 : x
  2. Step 2: Convert to fraction form
    53.03/79.12 = 47.92/x
  3. Step 3: Cross multiply
    53.03x = 79.12 × 47.92
  4. Step 4: Simplify right side
    53.03x = 3,791.43
  5. Step 5: Solve for x
    x = 3,791.43/53.03
  6. Step 6: Final answer
    x = 71.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.