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Finding the Fourth Proportional to 13,351.92, 18,432.96 and 8,048

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Solution

The fourth proportional to 13,351.92, 18,432.96 and 8,048 is: 11,110.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,351.92 : 18,432.96 = 8,048 : x
  2. Step 2: Convert to fraction form
    13,351.92/18,432.96 = 8,048/x
  3. Step 3: Cross multiply
    13,351.92x = 18,432.96 × 8,048
  4. Step 4: Simplify right side
    13,351.92x = 148,348,462.08
  5. Step 5: Solve for x
    x = 148,348,462.08/13,351.92
  6. Step 6: Final answer
    x = 11,110.65

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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.