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Finding the Fourth Proportional to 2,293.34, 3,440.34 and 812.18

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Solution

The fourth proportional to 2,293.34, 3,440.34 and 812.18 is: 1,218.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,293.34 : 3,440.34 = 812.18 : x
  2. Step 2: Convert to fraction form
    2,293.34/3,440.34 = 812.18/x
  3. Step 3: Cross multiply
    2,293.34x = 3,440.34 × 812.18
  4. Step 4: Simplify right side
    2,293.34x = 2,794,175.34
  5. Step 5: Solve for x
    x = 2,794,175.34/2,293.34
  6. Step 6: Final answer
    x = 1,218.39

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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.