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Finding the Fourth Proportional to 8,717.52, 13,078.44 and 2,561.52

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Solution

The fourth proportional to 8,717.52, 13,078.44 and 2,561.52 is: 3,842.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,717.52 : 13,078.44 = 2,561.52 : x
  2. Step 2: Convert to fraction form
    8,717.52/13,078.44 = 2,561.52/x
  3. Step 3: Cross multiply
    8,717.52x = 13,078.44 × 2,561.52
  4. Step 4: Simplify right side
    8,717.52x = 33,500,685.63
  5. Step 5: Solve for x
    x = 33,500,685.63/8,717.52
  6. Step 6: Final answer
    x = 3,842.91

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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.