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Finding the Fourth Proportional to 13,383.91, 18,478.46 and 8,606

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Solution

The fourth proportional to 13,383.91, 18,478.46 and 8,606 is: 11,881.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,383.91 : 18,478.46 = 8,606 : x
  2. Step 2: Convert to fraction form
    13,383.91/18,478.46 = 8,606/x
  3. Step 3: Cross multiply
    13,383.91x = 18,478.46 × 8,606
  4. Step 4: Simplify right side
    13,383.91x = 159,025,626.76
  5. Step 5: Solve for x
    x = 159,025,626.76/13,383.91
  6. Step 6: Final answer
    x = 11,881.85

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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.