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Finding the Fourth Proportional to 13,260.96, 18,294.88 and 8,548

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Solution

The fourth proportional to 13,260.96, 18,294.88 and 8,548 is: 11,792.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,260.96 : 18,294.88 = 8,548 : x
  2. Step 2: Convert to fraction form
    13,260.96/18,294.88 = 8,548/x
  3. Step 3: Cross multiply
    13,260.96x = 18,294.88 × 8,548
  4. Step 4: Simplify right side
    13,260.96x = 156,384,634.24
  5. Step 5: Solve for x
    x = 156,384,634.24/13,260.96
  6. Step 6: Final answer
    x = 11,792.86

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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.