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Finding the Fourth Proportional to 7,876.78, 11,798.97 and 5,689.90

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Solution

The fourth proportional to 7,876.78, 11,798.97 and 5,689.90 is: 8,523.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.78 : 11,798.97 = 5,689.90 : x
  2. Step 2: Convert to fraction form
    7,876.78/11,798.97 = 5,689.90/x
  3. Step 3: Cross multiply
    7,876.78x = 11,798.97 × 5,689.90
  4. Step 4: Simplify right side
    7,876.78x = 67,134,959.40
  5. Step 5: Solve for x
    x = 67,134,959.40/7,876.78
  6. Step 6: Final answer
    x = 8,523.15

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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.