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Finding the Fourth Proportional to 8,641.72, 12,964.65 and 2,798.34

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Solution

The fourth proportional to 8,641.72, 12,964.65 and 2,798.34 is: 4,198.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641.72 : 12,964.65 = 2,798.34 : x
  2. Step 2: Convert to fraction form
    8,641.72/12,964.65 = 2,798.34/x
  3. Step 3: Cross multiply
    8,641.72x = 12,964.65 × 2,798.34
  4. Step 4: Simplify right side
    8,641.72x = 36,279,498.68
  5. Step 5: Solve for x
    x = 36,279,498.68/8,641.72
  6. Step 6: Final answer
    x = 4,198.18

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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.