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Finding the Fourth Proportional to 9,983.78, 13,677.76 and 9,609.92

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Solution

The fourth proportional to 9,983.78, 13,677.76 and 9,609.92 is: 13,165.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.78 : 13,677.76 = 9,609.92 : x
  2. Step 2: Convert to fraction form
    9,983.78/13,677.76 = 9,609.92/x
  3. Step 3: Cross multiply
    9,983.78x = 13,677.76 × 9,609.92
  4. Step 4: Simplify right side
    9,983.78x = 131,442,179.38
  5. Step 5: Solve for x
    x = 131,442,179.38/9,983.78
  6. Step 6: Final answer
    x = 13,165.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.