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Finding the Fourth Proportional to 9,697.28, 13,389 and 6,515.42

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Solution

The fourth proportional to 9,697.28, 13,389 and 6,515.42 is: 8,995.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,697.28 : 13,389 = 6,515.42 : x
  2. Step 2: Convert to fraction form
    9,697.28/13,389 = 6,515.42/x
  3. Step 3: Cross multiply
    9,697.28x = 13,389 × 6,515.42
  4. Step 4: Simplify right side
    9,697.28x = 87,234,958.38
  5. Step 5: Solve for x
    x = 87,234,958.38/9,697.28
  6. Step 6: Final answer
    x = 8,995.82

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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.