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Finding the Fourth Proportional to 9,561, 13,161.42 and 8,294.61

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Solution

The fourth proportional to 9,561, 13,161.42 and 8,294.61 is: 11,418.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561 : 13,161.42 = 8,294.61 : x
  2. Step 2: Convert to fraction form
    9,561/13,161.42 = 8,294.61/x
  3. Step 3: Cross multiply
    9,561x = 13,161.42 × 8,294.61
  4. Step 4: Simplify right side
    9,561x = 109,168,845.95
  5. Step 5: Solve for x
    x = 109,168,845.95/9,561
  6. Step 6: Final answer
    x = 11,418.14

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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.