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Finding the Fourth Proportional to 5,267.80, 7,898.82 and 3,079

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Solution

The fourth proportional to 5,267.80, 7,898.82 and 3,079 is: 4,616.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,267.80 : 7,898.82 = 3,079 : x
  2. Step 2: Convert to fraction form
    5,267.80/7,898.82 = 3,079/x
  3. Step 3: Cross multiply
    5,267.80x = 7,898.82 × 3,079
  4. Step 4: Simplify right side
    5,267.80x = 24,320,466.78
  5. Step 5: Solve for x
    x = 24,320,466.78/5,267.80
  6. Step 6: Final answer
    x = 4,616.82

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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.