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Finding the Fourth Proportional to 5,718, 7,891.32 and 3,234.48

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Solution

The fourth proportional to 5,718, 7,891.32 and 3,234.48 is: 4,463.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718 : 7,891.32 = 3,234.48 : x
  2. Step 2: Convert to fraction form
    5,718/7,891.32 = 3,234.48/x
  3. Step 3: Cross multiply
    5,718x = 7,891.32 × 3,234.48
  4. Step 4: Simplify right side
    5,718x = 25,524,316.71
  5. Step 5: Solve for x
    x = 25,524,316.71/5,718
  6. Step 6: Final answer
    x = 4,463.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.