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Finding the Fourth Proportional to 8,386.92, 12,579.12 and 2,542.86

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Solution

The fourth proportional to 8,386.92, 12,579.12 and 2,542.86 is: 3,813.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,386.92 : 12,579.12 = 2,542.86 : x
  2. Step 2: Convert to fraction form
    8,386.92/12,579.12 = 2,542.86/x
  3. Step 3: Cross multiply
    8,386.92x = 12,579.12 × 2,542.86
  4. Step 4: Simplify right side
    8,386.92x = 31,986,941.08
  5. Step 5: Solve for x
    x = 31,986,941.08/8,386.92
  6. Step 6: Final answer
    x = 3,813.91

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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.