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Finding the Fourth Proportional to 38.54, 53.26 and 37.13

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Solution

The fourth proportional to 38.54, 53.26 and 37.13 is: 51.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38.54 : 53.26 = 37.13 : x
  2. Step 2: Convert to fraction form
    38.54/53.26 = 37.13/x
  3. Step 3: Cross multiply
    38.54x = 53.26 × 37.13
  4. Step 4: Simplify right side
    38.54x = 1,977.18
  5. Step 5: Solve for x
    x = 1,977.18/38.54
  6. Step 6: Final answer
    x = 51.30

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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.