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Finding the Fourth Proportional to 8,753, 13,131.66 and 2,597

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Solution

The fourth proportional to 8,753, 13,131.66 and 2,597 is: 3,896.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,753 : 13,131.66 = 2,597 : x
  2. Step 2: Convert to fraction form
    8,753/13,131.66 = 2,597/x
  3. Step 3: Cross multiply
    8,753x = 13,131.66 × 2,597
  4. Step 4: Simplify right side
    8,753x = 34,102,921.02
  5. Step 5: Solve for x
    x = 34,102,921.02/8,753
  6. Step 6: Final answer
    x = 3,896.14

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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.