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Finding the Fourth Proportional to 2,057.95, 2,839.95 and 1,126.45

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Solution

The fourth proportional to 2,057.95, 2,839.95 and 1,126.45 is: 1,554.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.95 : 2,839.95 = 1,126.45 : x
  2. Step 2: Convert to fraction form
    2,057.95/2,839.95 = 1,126.45/x
  3. Step 3: Cross multiply
    2,057.95x = 2,839.95 × 1,126.45
  4. Step 4: Simplify right side
    2,057.95x = 3,199,061.68
  5. Step 5: Solve for x
    x = 3,199,061.68/2,057.95
  6. Step 6: Final answer
    x = 1,554.49

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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.