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Finding the Fourth Proportional to 18,122.85, 27,197.94 and 8,768.57

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Solution

The fourth proportional to 18,122.85, 27,197.94 and 8,768.57 is: 13,159.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,122.85 : 27,197.94 = 8,768.57 : x
  2. Step 2: Convert to fraction form
    18,122.85/27,197.94 = 8,768.57/x
  3. Step 3: Cross multiply
    18,122.85x = 27,197.94 × 8,768.57
  4. Step 4: Simplify right side
    18,122.85x = 238,486,904.76
  5. Step 5: Solve for x
    x = 238,486,904.76/18,122.85
  6. Step 6: Final answer
    x = 13,159.46

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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.