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Finding the Fourth Proportional to 18,187.76, 27,281.54 and 5,039.78

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Solution

The fourth proportional to 18,187.76, 27,281.54 and 5,039.78 is: 7,559.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,187.76 : 27,281.54 = 5,039.78 : x
  2. Step 2: Convert to fraction form
    18,187.76/27,281.54 = 5,039.78/x
  3. Step 3: Cross multiply
    18,187.76x = 27,281.54 × 5,039.78
  4. Step 4: Simplify right side
    18,187.76x = 137,492,835.85
  5. Step 5: Solve for x
    x = 137,492,835.85/18,187.76
  6. Step 6: Final answer
    x = 7,559.63

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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.