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Finding the Fourth Proportional to 2,057.86, 2,839.86 and 1,126.36

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Solution

The fourth proportional to 2,057.86, 2,839.86 and 1,126.36 is: 1,554.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.86 : 2,839.86 = 1,126.36 : x
  2. Step 2: Convert to fraction form
    2,057.86/2,839.86 = 1,126.36/x
  3. Step 3: Cross multiply
    2,057.86x = 2,839.86 × 1,126.36
  4. Step 4: Simplify right side
    2,057.86x = 3,198,704.71
  5. Step 5: Solve for x
    x = 3,198,704.71/2,057.86
  6. Step 6: Final answer
    x = 1,554.38

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Double scale
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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.