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Finding the Fourth Proportional to 8,817.84, 12,161.16 and 6,824.88

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Solution

The fourth proportional to 8,817.84, 12,161.16 and 6,824.88 is: 9,412.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,817.84 : 12,161.16 = 6,824.88 : x
  2. Step 2: Convert to fraction form
    8,817.84/12,161.16 = 6,824.88/x
  3. Step 3: Cross multiply
    8,817.84x = 12,161.16 × 6,824.88
  4. Step 4: Simplify right side
    8,817.84x = 82,998,457.66
  5. Step 5: Solve for x
    x = 82,998,457.66/8,817.84
  6. Step 6: Final answer
    x = 9,412.56

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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 (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.