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Finding the Fourth Proportional to 8,627.86, 12,934.14 and 5,109.22

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Solution

The fourth proportional to 8,627.86, 12,934.14 and 5,109.22 is: 7,659.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,627.86 : 12,934.14 = 5,109.22 : x
  2. Step 2: Convert to fraction form
    8,627.86/12,934.14 = 5,109.22/x
  3. Step 3: Cross multiply
    8,627.86x = 12,934.14 × 5,109.22
  4. Step 4: Simplify right side
    8,627.86x = 66,083,366.77
  5. Step 5: Solve for x
    x = 66,083,366.77/8,627.86
  6. Step 6: Final answer
    x = 7,659.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.