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Finding the Fourth Proportional to 2,199.65, 3,293.40 and 2,138.90

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Solution

The fourth proportional to 2,199.65, 3,293.40 and 2,138.90 is: 3,202.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.65 : 3,293.40 = 2,138.90 : x
  2. Step 2: Convert to fraction form
    2,199.65/3,293.40 = 2,138.90/x
  3. Step 3: Cross multiply
    2,199.65x = 3,293.40 × 2,138.90
  4. Step 4: Simplify right side
    2,199.65x = 7,044,253.26
  5. Step 5: Solve for x
    x = 7,044,253.26/2,199.65
  6. Step 6: Final answer
    x = 3,202.44

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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.