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Finding the Fourth Proportional to 8,717, 13,077.72 and 2,561

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Solution

The fourth proportional to 8,717, 13,077.72 and 2,561 is: 3,842.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,717 : 13,077.72 = 2,561 : x
  2. Step 2: Convert to fraction form
    8,717/13,077.72 = 2,561/x
  3. Step 3: Cross multiply
    8,717x = 13,077.72 × 2,561
  4. Step 4: Simplify right side
    8,717x = 33,492,040.92
  5. Step 5: Solve for x
    x = 33,492,040.92/8,717
  6. Step 6: Final answer
    x = 3,842.15

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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.