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Finding the Fourth Proportional to 18,118, 27,180.90 and 5,637.76

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Solution

The fourth proportional to 18,118, 27,180.90 and 5,637.76 is: 8,457.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,118 : 27,180.90 = 5,637.76 : x
  2. Step 2: Convert to fraction form
    18,118/27,180.90 = 5,637.76/x
  3. Step 3: Cross multiply
    18,118x = 27,180.90 × 5,637.76
  4. Step 4: Simplify right side
    18,118x = 153,239,390.78
  5. Step 5: Solve for x
    x = 153,239,390.78/18,118
  6. Step 6: Final answer
    x = 8,457.85

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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.