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Finding the Fourth Proportional to 8,682.08, 13,023.11 and 2,442.71

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Solution

The fourth proportional to 8,682.08, 13,023.11 and 2,442.71 is: 3,664.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,682.08 : 13,023.11 = 2,442.71 : x
  2. Step 2: Convert to fraction form
    8,682.08/13,023.11 = 2,442.71/x
  3. Step 3: Cross multiply
    8,682.08x = 13,023.11 × 2,442.71
  4. Step 4: Simplify right side
    8,682.08x = 31,811,719.69
  5. Step 5: Solve for x
    x = 31,811,719.69/8,682.08
  6. Step 6: Final answer
    x = 3,664.07

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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.