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Finding the Fourth Proportional to 6,578.50, 9,872.62 and 3,115.76

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Solution

The fourth proportional to 6,578.50, 9,872.62 and 3,115.76 is: 4,675.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.50 : 9,872.62 = 3,115.76 : x
  2. Step 2: Convert to fraction form
    6,578.50/9,872.62 = 3,115.76/x
  3. Step 3: Cross multiply
    6,578.50x = 9,872.62 × 3,115.76
  4. Step 4: Simplify right side
    6,578.50x = 30,760,714.49
  5. Step 5: Solve for x
    x = 30,760,714.49/6,578.50
  6. Step 6: Final answer
    x = 4,675.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.