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Finding the Fourth Proportional to 13,491, 18,617.18 and 7,522.54

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Solution

The fourth proportional to 13,491, 18,617.18 and 7,522.54 is: 10,380.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,491 : 18,617.18 = 7,522.54 : x
  2. Step 2: Convert to fraction form
    13,491/18,617.18 = 7,522.54/x
  3. Step 3: Cross multiply
    13,491x = 18,617.18 × 7,522.54
  4. Step 4: Simplify right side
    13,491x = 140,048,481.24
  5. Step 5: Solve for x
    x = 140,048,481.24/13,491
  6. Step 6: Final answer
    x = 10,380.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.