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Finding the Fourth Proportional to 2,842.16, 3,922.20 and 1,663.01

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Solution

The fourth proportional to 2,842.16, 3,922.20 and 1,663.01 is: 2,294.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.16 : 3,922.20 = 1,663.01 : x
  2. Step 2: Convert to fraction form
    2,842.16/3,922.20 = 1,663.01/x
  3. Step 3: Cross multiply
    2,842.16x = 3,922.20 × 1,663.01
  4. Step 4: Simplify right side
    2,842.16x = 6,522,629.90
  5. Step 5: Solve for x
    x = 6,522,629.90/2,842.16
  6. Step 6: Final answer
    x = 2,294.96

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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.