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Finding the Fourth Proportional to 8,691.86, 11,992.92 and 5,156.22

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Solution

The fourth proportional to 8,691.86, 11,992.92 and 5,156.22 is: 7,114.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,691.86 : 11,992.92 = 5,156.22 : x
  2. Step 2: Convert to fraction form
    8,691.86/11,992.92 = 5,156.22/x
  3. Step 3: Cross multiply
    8,691.86x = 11,992.92 × 5,156.22
  4. Step 4: Simplify right side
    8,691.86x = 61,838,133.96
  5. Step 5: Solve for x
    x = 61,838,133.96/8,691.86
  6. Step 6: Final answer
    x = 7,114.49

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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.