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Finding the Fourth Proportional to 28,012, 42,003.16 and 8,287.84

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Solution

The fourth proportional to 28,012, 42,003.16 and 8,287.84 is: 12,427.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,012 : 42,003.16 = 8,287.84 : x
  2. Step 2: Convert to fraction form
    28,012/42,003.16 = 8,287.84/x
  3. Step 3: Cross multiply
    28,012x = 42,003.16 × 8,287.84
  4. Step 4: Simplify right side
    28,012x = 348,115,469.57
  5. Step 5: Solve for x
    x = 348,115,469.57/28,012
  6. Step 6: Final answer
    x = 12,427.37

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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.