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Finding the Fourth Proportional to 2,324.80, 3,491.40 and 2,221

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Solution

The fourth proportional to 2,324.80, 3,491.40 and 2,221 is: 3,335.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,324.80 : 3,491.40 = 2,221 : x
  2. Step 2: Convert to fraction form
    2,324.80/3,491.40 = 2,221/x
  3. Step 3: Cross multiply
    2,324.80x = 3,491.40 × 2,221
  4. Step 4: Simplify right side
    2,324.80x = 7,754,399.40
  5. Step 5: Solve for x
    x = 7,754,399.40/2,324.80
  6. Step 6: Final answer
    x = 3,335.51

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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.