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Finding the Fourth Proportional to 9,699.57, 13,375.08 and 7,679.61

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Solution

The fourth proportional to 9,699.57, 13,375.08 and 7,679.61 is: 10,589.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.57 : 13,375.08 = 7,679.61 : x
  2. Step 2: Convert to fraction form
    9,699.57/13,375.08 = 7,679.61/x
  3. Step 3: Cross multiply
    9,699.57x = 13,375.08 × 7,679.61
  4. Step 4: Simplify right side
    9,699.57x = 102,715,398.12
  5. Step 5: Solve for x
    x = 102,715,398.12/9,699.57
  6. Step 6: Final answer
    x = 10,589.69

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1.5x scale

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.