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Finding the Fourth Proportional to 9,220.16, 12,713.78 and 6,230.81

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Solution

The fourth proportional to 9,220.16, 12,713.78 and 6,230.81 is: 8,591.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,220.16 : 12,713.78 = 6,230.81 : x
  2. Step 2: Convert to fraction form
    9,220.16/12,713.78 = 6,230.81/x
  3. Step 3: Cross multiply
    9,220.16x = 12,713.78 × 6,230.81
  4. Step 4: Simplify right side
    9,220.16x = 79,217,194.92
  5. Step 5: Solve for x
    x = 79,217,194.92/9,220.16
  6. Step 6: Final answer
    x = 8,591.74

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Half scale
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Double scale
Find fourth proportional to 9,221.16, 12,715.16 and 6,231.81
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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.