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Finding the Fourth Proportional to 8,201.74, 12,238.64 and 7,318.18

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Solution

The fourth proportional to 8,201.74, 12,238.64 and 7,318.18 is: 10,920.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.74 : 12,238.64 = 7,318.18 : x
  2. Step 2: Convert to fraction form
    8,201.74/12,238.64 = 7,318.18/x
  3. Step 3: Cross multiply
    8,201.74x = 12,238.64 × 7,318.18
  4. Step 4: Simplify right side
    8,201.74x = 89,564,570.48
  5. Step 5: Solve for x
    x = 89,564,570.48/8,201.74
  6. Step 6: Final answer
    x = 10,920.19

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.