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Finding the Fourth Proportional to 28,200, 42,298.36 and 8,478.12

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Solution

The fourth proportional to 28,200, 42,298.36 and 8,478.12 is: 12,716.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,200 : 42,298.36 = 8,478.12 : x
  2. Step 2: Convert to fraction form
    28,200/42,298.36 = 8,478.12/x
  3. Step 3: Cross multiply
    28,200x = 42,298.36 × 8,478.12
  4. Step 4: Simplify right side
    28,200x = 358,610,571.88
  5. Step 5: Solve for x
    x = 358,610,571.88/28,200
  6. Step 6: Final answer
    x = 12,716.69

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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.