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Finding the Fourth Proportional to 54.87, 75.67 and 34.12

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Solution

The fourth proportional to 54.87, 75.67 and 34.12 is: 47.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.87 : 75.67 = 34.12 : x
  2. Step 2: Convert to fraction form
    54.87/75.67 = 34.12/x
  3. Step 3: Cross multiply
    54.87x = 75.67 × 34.12
  4. Step 4: Simplify right side
    54.87x = 2,581.86
  5. Step 5: Solve for x
    x = 2,581.86/54.87
  6. Step 6: Final answer
    x = 47.05

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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.