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Finding the Fourth Proportional to 9,660.40, 13,280.12 and 8,311.08

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Solution

The fourth proportional to 9,660.40, 13,280.12 and 8,311.08 is: 11,425.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,660.40 : 13,280.12 = 8,311.08 : x
  2. Step 2: Convert to fraction form
    9,660.40/13,280.12 = 8,311.08/x
  3. Step 3: Cross multiply
    9,660.40x = 13,280.12 × 8,311.08
  4. Step 4: Simplify right side
    9,660.40x = 110,372,139.73
  5. Step 5: Solve for x
    x = 110,372,139.73/9,660.40
  6. Step 6: Final answer
    x = 11,425.21

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.