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Finding the Fourth Proportional to 18,652.20, 27,970.20 and 6,167.40

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Solution

The fourth proportional to 18,652.20, 27,970.20 and 6,167.40 is: 9,248.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,652.20 : 27,970.20 = 6,167.40 : x
  2. Step 2: Convert to fraction form
    18,652.20/27,970.20 = 6,167.40/x
  3. Step 3: Cross multiply
    18,652.20x = 27,970.20 × 6,167.40
  4. Step 4: Simplify right side
    18,652.20x = 172,503,411.48
  5. Step 5: Solve for x
    x = 172,503,411.48/18,652.20
  6. Step 6: Final answer
    x = 9,248.42

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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.