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Finding the Fourth Proportional to 18,680, 25,778.40 and 11,228

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Solution

The fourth proportional to 18,680, 25,778.40 and 11,228 is: 15,494.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,680 : 25,778.40 = 11,228 : x
  2. Step 2: Convert to fraction form
    18,680/25,778.40 = 11,228/x
  3. Step 3: Cross multiply
    18,680x = 25,778.40 × 11,228
  4. Step 4: Simplify right side
    18,680x = 289,439,875.20
  5. Step 5: Solve for x
    x = 289,439,875.20/18,680
  6. Step 6: Final answer
    x = 15,494.64

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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.