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Finding the Fourth Proportional to 2,753.75, 3,797.63 and 2,123.31

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Solution

The fourth proportional to 2,753.75, 3,797.63 and 2,123.31 is: 2,928.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,753.75 : 3,797.63 = 2,123.31 : x
  2. Step 2: Convert to fraction form
    2,753.75/3,797.63 = 2,123.31/x
  3. Step 3: Cross multiply
    2,753.75x = 3,797.63 × 2,123.31
  4. Step 4: Simplify right side
    2,753.75x = 8,063,569.29
  5. Step 5: Solve for x
    x = 8,063,569.29/2,753.75
  6. Step 6: Final answer
    x = 2,928.22

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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.