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Finding the Fourth Proportional to 9,763.84, 13,481.12 and 8,817.76

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Solution

The fourth proportional to 9,763.84, 13,481.12 and 8,817.76 is: 12,174.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.84 : 13,481.12 = 8,817.76 : x
  2. Step 2: Convert to fraction form
    9,763.84/13,481.12 = 8,817.76/x
  3. Step 3: Cross multiply
    9,763.84x = 13,481.12 × 8,817.76
  4. Step 4: Simplify right side
    9,763.84x = 118,873,280.69
  5. Step 5: Solve for x
    x = 118,873,280.69/9,763.84
  6. Step 6: Final answer
    x = 12,174.85

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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.