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Finding the Fourth Proportional to 11,761.11, 16,243.69 and 7,977.69

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Solution

The fourth proportional to 11,761.11, 16,243.69 and 7,977.69 is: 11,018.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,761.11 : 16,243.69 = 7,977.69 : x
  2. Step 2: Convert to fraction form
    11,761.11/16,243.69 = 7,977.69/x
  3. Step 3: Cross multiply
    11,761.11x = 16,243.69 × 7,977.69
  4. Step 4: Simplify right side
    11,761.11x = 129,587,123.28
  5. Step 5: Solve for x
    x = 129,587,123.28/11,761.11
  6. Step 6: Final answer
    x = 11,018.27

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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.