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Finding the Fourth Proportional to 8,268.71, 12,401.19 and 2,425.77

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Solution

The fourth proportional to 8,268.71, 12,401.19 and 2,425.77 is: 3,638.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,268.71 : 12,401.19 = 2,425.77 : x
  2. Step 2: Convert to fraction form
    8,268.71/12,401.19 = 2,425.77/x
  3. Step 3: Cross multiply
    8,268.71x = 12,401.19 × 2,425.77
  4. Step 4: Simplify right side
    8,268.71x = 30,082,434.67
  5. Step 5: Solve for x
    x = 30,082,434.67/8,268.71
  6. Step 6: Final answer
    x = 3,638.11

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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.