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Finding the Fourth Proportional to 53.75, 74.04 and 41.47

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Solution

The fourth proportional to 53.75, 74.04 and 41.47 is: 57.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.75 : 74.04 = 41.47 : x
  2. Step 2: Convert to fraction form
    53.75/74.04 = 41.47/x
  3. Step 3: Cross multiply
    53.75x = 74.04 × 41.47
  4. Step 4: Simplify right side
    53.75x = 3,070.44
  5. Step 5: Solve for x
    x = 3,070.44/53.75
  6. Step 6: Final answer
    x = 57.12

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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.