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Finding the Fourth Proportional to 10,887.66, 16,331.49 and 7,769.14

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Solution

The fourth proportional to 10,887.66, 16,331.49 and 7,769.14 is: 11,653.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,887.66 : 16,331.49 = 7,769.14 : x
  2. Step 2: Convert to fraction form
    10,887.66/16,331.49 = 7,769.14/x
  3. Step 3: Cross multiply
    10,887.66x = 16,331.49 × 7,769.14
  4. Step 4: Simplify right side
    10,887.66x = 126,881,550.56
  5. Step 5: Solve for x
    x = 126,881,550.56/10,887.66
  6. Step 6: Final answer
    x = 11,653.70

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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.