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Finding the Fourth Proportional to 9,344.76, 12,896.68 and 6,982.80

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Solution

The fourth proportional to 9,344.76, 12,896.68 and 6,982.80 is: 9,636.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.76 : 12,896.68 = 6,982.80 : x
  2. Step 2: Convert to fraction form
    9,344.76/12,896.68 = 6,982.80/x
  3. Step 3: Cross multiply
    9,344.76x = 12,896.68 × 6,982.80
  4. Step 4: Simplify right side
    9,344.76x = 90,054,937.10
  5. Step 5: Solve for x
    x = 90,054,937.10/9,344.76
  6. Step 6: Final answer
    x = 9,636.94

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