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Finding the Fourth Proportional to 18,040.48, 27,038 and 8,176.80

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Solution

The fourth proportional to 18,040.48, 27,038 and 8,176.80 is: 12,254.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,040.48 : 27,038 = 8,176.80 : x
  2. Step 2: Convert to fraction form
    18,040.48/27,038 = 8,176.80/x
  3. Step 3: Cross multiply
    18,040.48x = 27,038 × 8,176.80
  4. Step 4: Simplify right side
    18,040.48x = 221,084,318.40
  5. Step 5: Solve for x
    x = 221,084,318.40/18,040.48
  6. Step 6: Final answer
    x = 12,254.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.