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Finding the Fourth Proportional to 9,286.68, 12,821.64 and 8,290.32

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Solution

The fourth proportional to 9,286.68, 12,821.64 and 8,290.32 is: 11,446.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.68 : 12,821.64 = 8,290.32 : x
  2. Step 2: Convert to fraction form
    9,286.68/12,821.64 = 8,290.32/x
  3. Step 3: Cross multiply
    9,286.68x = 12,821.64 × 8,290.32
  4. Step 4: Simplify right side
    9,286.68x = 106,295,498.52
  5. Step 5: Solve for x
    x = 106,295,498.52/9,286.68
  6. Step 6: Final answer
    x = 11,446.02

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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.