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Finding the Fourth Proportional to 11,869, 16,379.04 and 8,472.28

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Solution

The fourth proportional to 11,869, 16,379.04 and 8,472.28 is: 11,691.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,869 : 16,379.04 = 8,472.28 : x
  2. Step 2: Convert to fraction form
    11,869/16,379.04 = 8,472.28/x
  3. Step 3: Cross multiply
    11,869x = 16,379.04 × 8,472.28
  4. Step 4: Simplify right side
    11,869x = 138,767,813.01
  5. Step 5: Solve for x
    x = 138,767,813.01/11,869
  6. Step 6: Final answer
    x = 11,691.62

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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.