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Finding the Fourth Proportional to 8,512.86, 12,769.28 and 4,641.86

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Solution

The fourth proportional to 8,512.86, 12,769.28 and 4,641.86 is: 6,962.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.86 : 12,769.28 = 4,641.86 : x
  2. Step 2: Convert to fraction form
    8,512.86/12,769.28 = 4,641.86/x
  3. Step 3: Cross multiply
    8,512.86x = 12,769.28 × 4,641.86
  4. Step 4: Simplify right side
    8,512.86x = 59,273,210.06
  5. Step 5: Solve for x
    x = 59,273,210.06/8,512.86
  6. Step 6: Final answer
    x = 6,962.78

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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.