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Finding the Fourth Proportional to 9,091.87, 12,532.48 and 8,329.15

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Solution

The fourth proportional to 9,091.87, 12,532.48 and 8,329.15 is: 11,481.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,091.87 : 12,532.48 = 8,329.15 : x
  2. Step 2: Convert to fraction form
    9,091.87/12,532.48 = 8,329.15/x
  3. Step 3: Cross multiply
    9,091.87x = 12,532.48 × 8,329.15
  4. Step 4: Simplify right side
    9,091.87x = 104,384,801.48
  5. Step 5: Solve for x
    x = 104,384,801.48/9,091.87
  6. Step 6: Final answer
    x = 11,481.12

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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.