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Finding the Fourth Proportional to 9,208.97, 13,823.12 and 8,161.49

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Solution

The fourth proportional to 9,208.97, 13,823.12 and 8,161.49 is: 12,250.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.97 : 13,823.12 = 8,161.49 : x
  2. Step 2: Convert to fraction form
    9,208.97/13,823.12 = 8,161.49/x
  3. Step 3: Cross multiply
    9,208.97x = 13,823.12 × 8,161.49
  4. Step 4: Simplify right side
    9,208.97x = 112,817,226.19
  5. Step 5: Solve for x
    x = 112,817,226.19/9,208.97
  6. Step 6: Final answer
    x = 12,250.79

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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.