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Finding the Fourth Proportional to 9,100.20, 13,578.92 and 8,542.92

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Solution

The fourth proportional to 9,100.20, 13,578.92 and 8,542.92 is: 12,747.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100.20 : 13,578.92 = 8,542.92 : x
  2. Step 2: Convert to fraction form
    9,100.20/13,578.92 = 8,542.92/x
  3. Step 3: Cross multiply
    9,100.20x = 13,578.92 × 8,542.92
  4. Step 4: Simplify right side
    9,100.20x = 116,003,627.25
  5. Step 5: Solve for x
    x = 116,003,627.25/9,100.20
  6. Step 6: Final answer
    x = 12,747.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.