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Finding the Fourth Proportional to 2,785.80, 4,156.89 and 2,719.92

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Solution

The fourth proportional to 2,785.80, 4,156.89 and 2,719.92 is: 4,058.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,785.80 : 4,156.89 = 2,719.92 : x
  2. Step 2: Convert to fraction form
    2,785.80/4,156.89 = 2,719.92/x
  3. Step 3: Cross multiply
    2,785.80x = 4,156.89 × 2,719.92
  4. Step 4: Simplify right side
    2,785.80x = 11,306,408.25
  5. Step 5: Solve for x
    x = 11,306,408.25/2,785.80
  6. Step 6: Final answer
    x = 4,058.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.