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Finding the Fourth Proportional to 5,178.98, 7,761.98 and 4,079

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Solution

The fourth proportional to 5,178.98, 7,761.98 and 4,079 is: 6,113.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,178.98 : 7,761.98 = 4,079 : x
  2. Step 2: Convert to fraction form
    5,178.98/7,761.98 = 4,079/x
  3. Step 3: Cross multiply
    5,178.98x = 7,761.98 × 4,079
  4. Step 4: Simplify right side
    5,178.98x = 31,661,116.42
  5. Step 5: Solve for x
    x = 31,661,116.42/5,178.98
  6. Step 6: Final answer
    x = 6,113.39

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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.