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Finding the Fourth Proportional to 28,298.46, 42,447.90 and 8,578.56

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Solution

The fourth proportional to 28,298.46, 42,447.90 and 8,578.56 is: 12,867.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,298.46 : 42,447.90 = 8,578.56 : x
  2. Step 2: Convert to fraction form
    28,298.46/42,447.90 = 8,578.56/x
  3. Step 3: Cross multiply
    28,298.46x = 42,447.90 × 8,578.56
  4. Step 4: Simplify right side
    28,298.46x = 364,141,857.02
  5. Step 5: Solve for x
    x = 364,141,857.02/28,298.46
  6. Step 6: Final answer
    x = 12,867.90

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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.