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Finding the Fourth Proportional to 2,892, 4,337.76 and 1,248.54

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Solution

The fourth proportional to 2,892, 4,337.76 and 1,248.54 is: 1,872.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892 : 4,337.76 = 1,248.54 : x
  2. Step 2: Convert to fraction form
    2,892/4,337.76 = 1,248.54/x
  3. Step 3: Cross multiply
    2,892x = 4,337.76 × 1,248.54
  4. Step 4: Simplify right side
    2,892x = 5,415,866.87
  5. Step 5: Solve for x
    x = 5,415,866.87/2,892
  6. Step 6: Final answer
    x = 1,872.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.