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Finding the Fourth Proportional to 9,697.18, 13,380.49 and 5,719.08

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Solution

The fourth proportional to 9,697.18, 13,380.49 and 5,719.08 is: 7,891.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.18 : 13,380.49 = 5,719.08 : x
  2. Step 2: Convert to fraction form
    9,697.18/13,380.49 = 5,719.08/x
  3. Step 3: Cross multiply
    9,697.18x = 13,380.49 × 5,719.08
  4. Step 4: Simplify right side
    9,697.18x = 76,524,112.44
  5. Step 5: Solve for x
    x = 76,524,112.44/9,697.18
  6. Step 6: Final answer
    x = 7,891.38

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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.