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Finding the Fourth Proportional to 9,031.74, 12,436.11 and 7,906.38

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Solution

The fourth proportional to 9,031.74, 12,436.11 and 7,906.38 is: 10,886.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,031.74 : 12,436.11 = 7,906.38 : x
  2. Step 2: Convert to fraction form
    9,031.74/12,436.11 = 7,906.38/x
  3. Step 3: Cross multiply
    9,031.74x = 12,436.11 × 7,906.38
  4. Step 4: Simplify right side
    9,031.74x = 98,324,611.38
  5. Step 5: Solve for x
    x = 98,324,611.38/9,031.74
  6. Step 6: Final answer
    x = 10,886.56

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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.