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Finding the Fourth Proportional to 15,092.26, 20,827.22 and 8,378.86

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Solution

The fourth proportional to 15,092.26, 20,827.22 and 8,378.86 is: 11,562.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,092.26 : 20,827.22 = 8,378.86 : x
  2. Step 2: Convert to fraction form
    15,092.26/20,827.22 = 8,378.86/x
  3. Step 3: Cross multiply
    15,092.26x = 20,827.22 × 8,378.86
  4. Step 4: Simplify right side
    15,092.26x = 174,508,360.57
  5. Step 5: Solve for x
    x = 174,508,360.57/15,092.26
  6. Step 6: Final answer
    x = 11,562.77

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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.