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Finding the Fourth Proportional to 28,199, 42,291.57 and 12,408

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Solution

The fourth proportional to 28,199, 42,291.57 and 12,408 is: 18,608.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,199 : 42,291.57 = 12,408 : x
  2. Step 2: Convert to fraction form
    28,199/42,291.57 = 12,408/x
  3. Step 3: Cross multiply
    28,199x = 42,291.57 × 12,408
  4. Step 4: Simplify right side
    28,199x = 524,753,800.56
  5. Step 5: Solve for x
    x = 524,753,800.56/28,199
  6. Step 6: Final answer
    x = 18,608.95

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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.