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Finding the Fourth Proportional to 9,069.48, 13,591.92 and 8,159.13

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Solution

The fourth proportional to 9,069.48, 13,591.92 and 8,159.13 is: 12,227.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,069.48 : 13,591.92 = 8,159.13 : x
  2. Step 2: Convert to fraction form
    9,069.48/13,591.92 = 8,159.13/x
  3. Step 3: Cross multiply
    9,069.48x = 13,591.92 × 8,159.13
  4. Step 4: Simplify right side
    9,069.48x = 110,898,242.23
  5. Step 5: Solve for x
    x = 110,898,242.23/9,069.48
  6. Step 6: Final answer
    x = 12,227.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.