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Finding the Fourth Proportional to 12,319.38, 16,991.16 and 8,065.62

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Solution

The fourth proportional to 12,319.38, 16,991.16 and 8,065.62 is: 11,124.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,319.38 : 16,991.16 = 8,065.62 : x
  2. Step 2: Convert to fraction form
    12,319.38/16,991.16 = 8,065.62/x
  3. Step 3: Cross multiply
    12,319.38x = 16,991.16 × 8,065.62
  4. Step 4: Simplify right side
    12,319.38x = 137,044,239.92
  5. Step 5: Solve for x
    x = 137,044,239.92/12,319.38
  6. Step 6: Final answer
    x = 11,124.28

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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.