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Finding the Fourth Proportional to 2,538.68, 3,805.07 and 1,057.07

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Solution

The fourth proportional to 2,538.68, 3,805.07 and 1,057.07 is: 1,584.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,538.68 : 3,805.07 = 1,057.07 : x
  2. Step 2: Convert to fraction form
    2,538.68/3,805.07 = 1,057.07/x
  3. Step 3: Cross multiply
    2,538.68x = 3,805.07 × 1,057.07
  4. Step 4: Simplify right side
    2,538.68x = 4,022,235.52
  5. Step 5: Solve for x
    x = 4,022,235.52/2,538.68
  6. Step 6: Final answer
    x = 1,584.38

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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.