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Finding the Fourth Proportional to 9,082.60, 12,535.14 and 8,909.80

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Solution

The fourth proportional to 9,082.60, 12,535.14 and 8,909.80 is: 12,296.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.60 : 12,535.14 = 8,909.80 : x
  2. Step 2: Convert to fraction form
    9,082.60/12,535.14 = 8,909.80/x
  3. Step 3: Cross multiply
    9,082.60x = 12,535.14 × 8,909.80
  4. Step 4: Simplify right side
    9,082.60x = 111,685,590.37
  5. Step 5: Solve for x
    x = 111,685,590.37/9,082.60
  6. Step 6: Final answer
    x = 12,296.65

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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.