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Finding the Fourth Proportional to 53.75, 74.20 and 47.89

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Solution

The fourth proportional to 53.75, 74.20 and 47.89 is: 66.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.75 : 74.20 = 47.89 : x
  2. Step 2: Convert to fraction form
    53.75/74.20 = 47.89/x
  3. Step 3: Cross multiply
    53.75x = 74.20 × 47.89
  4. Step 4: Simplify right side
    53.75x = 3,553.50
  5. Step 5: Solve for x
    x = 3,553.50/53.75
  6. Step 6: Final answer
    x = 66.12

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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.