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Finding the Fourth Proportional to 2,262.70, 3,398.10 and 2,189.80

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Solution

The fourth proportional to 2,262.70, 3,398.10 and 2,189.80 is: 3,288.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,262.70 : 3,398.10 = 2,189.80 : x
  2. Step 2: Convert to fraction form
    2,262.70/3,398.10 = 2,189.80/x
  3. Step 3: Cross multiply
    2,262.70x = 3,398.10 × 2,189.80
  4. Step 4: Simplify right side
    2,262.70x = 7,441,159.38
  5. Step 5: Solve for x
    x = 7,441,159.38/2,262.70
  6. Step 6: Final answer
    x = 3,288.62

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1.5x scale

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.