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Finding the Fourth Proportional to 5,114.88, 7,058.50 and 2,876.71

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Solution

The fourth proportional to 5,114.88, 7,058.50 and 2,876.71 is: 3,969.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.88 : 7,058.50 = 2,876.71 : x
  2. Step 2: Convert to fraction form
    5,114.88/7,058.50 = 2,876.71/x
  3. Step 3: Cross multiply
    5,114.88x = 7,058.50 × 2,876.71
  4. Step 4: Simplify right side
    5,114.88x = 20,305,257.54
  5. Step 5: Solve for x
    x = 20,305,257.54/5,114.88
  6. Step 6: Final answer
    x = 3,969.84

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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.