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Finding the Fourth Proportional to 18,615.70, 27,924 and 5,468.49

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Solution

The fourth proportional to 18,615.70, 27,924 and 5,468.49 is: 8,202.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,615.70 : 27,924 = 5,468.49 : x
  2. Step 2: Convert to fraction form
    18,615.70/27,924 = 5,468.49/x
  3. Step 3: Cross multiply
    18,615.70x = 27,924 × 5,468.49
  4. Step 4: Simplify right side
    18,615.70x = 152,702,114.76
  5. Step 5: Solve for x
    x = 152,702,114.76/18,615.70
  6. Step 6: Final answer
    x = 8,202.87

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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.