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Finding the Fourth Proportional to 9,663.62, 13,332.60 and 6,678.38

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Solution

The fourth proportional to 9,663.62, 13,332.60 and 6,678.38 is: 9,213.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.62 : 13,332.60 = 6,678.38 : x
  2. Step 2: Convert to fraction form
    9,663.62/13,332.60 = 6,678.38/x
  3. Step 3: Cross multiply
    9,663.62x = 13,332.60 × 6,678.38
  4. Step 4: Simplify right side
    9,663.62x = 89,040,169.19
  5. Step 5: Solve for x
    x = 89,040,169.19/9,663.62
  6. Step 6: Final answer
    x = 9,213.96

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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.