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Finding the Fourth Proportional to 8,585.46, 12,876.03 and 2,739.06

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Solution

The fourth proportional to 8,585.46, 12,876.03 and 2,739.06 is: 4,107.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,585.46 : 12,876.03 = 2,739.06 : x
  2. Step 2: Convert to fraction form
    8,585.46/12,876.03 = 2,739.06/x
  3. Step 3: Cross multiply
    8,585.46x = 12,876.03 × 2,739.06
  4. Step 4: Simplify right side
    8,585.46x = 35,268,218.73
  5. Step 5: Solve for x
    x = 35,268,218.73/8,585.46
  6. Step 6: Final answer
    x = 4,107.90

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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.