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Finding the Fourth Proportional to 3,433.75, 4,738.50 and 2,254.75

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Solution

The fourth proportional to 3,433.75, 4,738.50 and 2,254.75 is: 3,111.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.75 : 4,738.50 = 2,254.75 : x
  2. Step 2: Convert to fraction form
    3,433.75/4,738.50 = 2,254.75/x
  3. Step 3: Cross multiply
    3,433.75x = 4,738.50 × 2,254.75
  4. Step 4: Simplify right side
    3,433.75x = 10,684,132.88
  5. Step 5: Solve for x
    x = 10,684,132.88/3,433.75
  6. Step 6: Final answer
    x = 3,111.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.