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Finding the Fourth Proportional to 2,223.01, 3,334.92 and 762.31

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Solution

The fourth proportional to 2,223.01, 3,334.92 and 762.31 is: 1,143.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.01 : 3,334.92 = 762.31 : x
  2. Step 2: Convert to fraction form
    2,223.01/3,334.92 = 762.31/x
  3. Step 3: Cross multiply
    2,223.01x = 3,334.92 × 762.31
  4. Step 4: Simplify right side
    2,223.01x = 2,542,222.38
  5. Step 5: Solve for x
    x = 2,542,222.38/2,223.01
  6. Step 6: Final answer
    x = 1,143.60

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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.