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Finding the Fourth Proportional to 2,752.56, 3,797.63 and 1,557.43

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Solution

The fourth proportional to 2,752.56, 3,797.63 and 1,557.43 is: 2,148.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.56 : 3,797.63 = 1,557.43 : x
  2. Step 2: Convert to fraction form
    2,752.56/3,797.63 = 1,557.43/x
  3. Step 3: Cross multiply
    2,752.56x = 3,797.63 × 1,557.43
  4. Step 4: Simplify right side
    2,752.56x = 5,914,523.90
  5. Step 5: Solve for x
    x = 5,914,523.90/2,752.56
  6. Step 6: Final answer
    x = 2,148.74

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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.