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Finding the Fourth Proportional to 2,057.22, 2,839.08 and 1,218.42

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Solution

The fourth proportional to 2,057.22, 2,839.08 and 1,218.42 is: 1,681.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.22 : 2,839.08 = 1,218.42 : x
  2. Step 2: Convert to fraction form
    2,057.22/2,839.08 = 1,218.42/x
  3. Step 3: Cross multiply
    2,057.22x = 2,839.08 × 1,218.42
  4. Step 4: Simplify right side
    2,057.22x = 3,459,191.85
  5. Step 5: Solve for x
    x = 3,459,191.85/2,057.22
  6. Step 6: Final answer
    x = 1,681.49

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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.