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Finding the Fourth Proportional to 10,999.97, 16,499.99 and 7,727.71

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Solution

The fourth proportional to 10,999.97, 16,499.99 and 7,727.71 is: 11,591.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,999.97 : 16,499.99 = 7,727.71 : x
  2. Step 2: Convert to fraction form
    10,999.97/16,499.99 = 7,727.71/x
  3. Step 3: Cross multiply
    10,999.97x = 16,499.99 × 7,727.71
  4. Step 4: Simplify right side
    10,999.97x = 127,507,115.79
  5. Step 5: Solve for x
    x = 127,507,115.79/10,999.97
  6. Step 6: Final answer
    x = 11,591.58

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