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Finding the Fourth Proportional to 9,286.20, 13,929.30 and 8,854.20

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Solution

The fourth proportional to 9,286.20, 13,929.30 and 8,854.20 is: 13,281.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.20 : 13,929.30 = 8,854.20 : x
  2. Step 2: Convert to fraction form
    9,286.20/13,929.30 = 8,854.20/x
  3. Step 3: Cross multiply
    9,286.20x = 13,929.30 × 8,854.20
  4. Step 4: Simplify right side
    9,286.20x = 123,332,808.06
  5. Step 5: Solve for x
    x = 123,332,808.06/9,286.20
  6. Step 6: Final answer
    x = 13,281.30

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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.