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Finding the Fourth Proportional to 18,408, 27,615.84 and 7,464

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Solution

The fourth proportional to 18,408, 27,615.84 and 7,464 is: 11,197.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,408 : 27,615.84 = 7,464 : x
  2. Step 2: Convert to fraction form
    18,408/27,615.84 = 7,464/x
  3. Step 3: Cross multiply
    18,408x = 27,615.84 × 7,464
  4. Step 4: Simplify right side
    18,408x = 206,124,629.76
  5. Step 5: Solve for x
    x = 206,124,629.76/18,408
  6. Step 6: Final answer
    x = 11,197.56

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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.