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Finding the Fourth Proportional to 2,273.67, 3,410.51 and 2,138.40

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Solution

The fourth proportional to 2,273.67, 3,410.51 and 2,138.40 is: 3,207.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,273.67 : 3,410.51 = 2,138.40 : x
  2. Step 2: Convert to fraction form
    2,273.67/3,410.51 = 2,138.40/x
  3. Step 3: Cross multiply
    2,273.67x = 3,410.51 × 2,138.40
  4. Step 4: Simplify right side
    2,273.67x = 7,293,023.89
  5. Step 5: Solve for x
    x = 7,293,023.89/2,273.67
  6. Step 6: Final answer
    x = 3,207.60

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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.