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Finding the Fourth Proportional to 8,641.48, 12,964.27 and 2,798.09

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Solution

The fourth proportional to 8,641.48, 12,964.27 and 2,798.09 is: 4,197.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,641.48 : 12,964.27 = 2,798.09 : x
  2. Step 2: Convert to fraction form
    8,641.48/12,964.27 = 2,798.09/x
  3. Step 3: Cross multiply
    8,641.48x = 12,964.27 × 2,798.09
  4. Step 4: Simplify right side
    8,641.48x = 36,275,129.42
  5. Step 5: Solve for x
    x = 36,275,129.42/8,641.48
  6. Step 6: Final answer
    x = 4,197.79

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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.