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Finding the Fourth Proportional to 2,842, 4,257.60 and 2,222.80

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Solution

The fourth proportional to 2,842, 4,257.60 and 2,222.80 is: 3,329.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842 : 4,257.60 = 2,222.80 : x
  2. Step 2: Convert to fraction form
    2,842/4,257.60 = 2,222.80/x
  3. Step 3: Cross multiply
    2,842x = 4,257.60 × 2,222.80
  4. Step 4: Simplify right side
    2,842x = 9,463,793.28
  5. Step 5: Solve for x
    x = 9,463,793.28/2,842
  6. Step 6: Final answer
    x = 3,329.98

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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.