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Finding the Fourth Proportional to 13,489, 18,611.36 and 7,520.68

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Solution

The fourth proportional to 13,489, 18,611.36 and 7,520.68 is: 10,376.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,489 : 18,611.36 = 7,520.68 : x
  2. Step 2: Convert to fraction form
    13,489/18,611.36 = 7,520.68/x
  3. Step 3: Cross multiply
    13,489x = 18,611.36 × 7,520.68
  4. Step 4: Simplify right side
    13,489x = 139,970,082.92
  5. Step 5: Solve for x
    x = 139,970,082.92/13,489
  6. Step 6: Final answer
    x = 10,376.61

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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.