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Finding the Fourth Proportional to 4,876.29, 7,302.71 and 2,789.97

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Solution

The fourth proportional to 4,876.29, 7,302.71 and 2,789.97 is: 4,178.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,876.29 : 7,302.71 = 2,789.97 : x
  2. Step 2: Convert to fraction form
    4,876.29/7,302.71 = 2,789.97/x
  3. Step 3: Cross multiply
    4,876.29x = 7,302.71 × 2,789.97
  4. Step 4: Simplify right side
    4,876.29x = 20,374,327.87
  5. Step 5: Solve for x
    x = 20,374,327.87/4,876.29
  6. Step 6: Final answer
    x = 4,178.24

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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.