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Finding the Fourth Proportional to 9,951.86, 13,726.77 and 8,180.39

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Solution

The fourth proportional to 9,951.86, 13,726.77 and 8,180.39 is: 11,283.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,951.86 : 13,726.77 = 8,180.39 : x
  2. Step 2: Convert to fraction form
    9,951.86/13,726.77 = 8,180.39/x
  3. Step 3: Cross multiply
    9,951.86x = 13,726.77 × 8,180.39
  4. Step 4: Simplify right side
    9,951.86x = 112,290,335.68
  5. Step 5: Solve for x
    x = 112,290,335.68/9,951.86
  6. Step 6: Final answer
    x = 11,283.35

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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.