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Finding the Fourth Proportional to 2,842.72, 3,924.02 and 2,102.64

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Solution

The fourth proportional to 2,842.72, 3,924.02 and 2,102.64 is: 2,902.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,842.72 : 3,924.02 = 2,102.64 : x
  2. Step 2: Convert to fraction form
    2,842.72/3,924.02 = 2,102.64/x
  3. Step 3: Cross multiply
    2,842.72x = 3,924.02 × 2,102.64
  4. Step 4: Simplify right side
    2,842.72x = 8,250,801.41
  5. Step 5: Solve for x
    x = 8,250,801.41/2,842.72
  6. Step 6: Final answer
    x = 2,902.43

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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.