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Finding the Fourth Proportional to 2,876.88, 4,314.26 and 1,027.50

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Solution

The fourth proportional to 2,876.88, 4,314.26 and 1,027.50 is: 1,540.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.88 : 4,314.26 = 1,027.50 : x
  2. Step 2: Convert to fraction form
    2,876.88/4,314.26 = 1,027.50/x
  3. Step 3: Cross multiply
    2,876.88x = 4,314.26 × 1,027.50
  4. Step 4: Simplify right side
    2,876.88x = 4,432,897.01
  5. Step 5: Solve for x
    x = 4,432,897.01/2,876.88
  6. Step 6: Final answer
    x = 1,540.87

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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.