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Finding the Fourth Proportional to 2,857.55, 3,943.90 and 1,663.22

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Solution

The fourth proportional to 2,857.55, 3,943.90 and 1,663.22 is: 2,295.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.55 : 3,943.90 = 1,663.22 : x
  2. Step 2: Convert to fraction form
    2,857.55/3,943.90 = 1,663.22/x
  3. Step 3: Cross multiply
    2,857.55x = 3,943.90 × 1,663.22
  4. Step 4: Simplify right side
    2,857.55x = 6,559,585.30
  5. Step 5: Solve for x
    x = 6,559,585.30/2,857.55
  6. Step 6: Final answer
    x = 2,295.53

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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.