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Finding the Fourth Proportional to 2,783.38, 3,842.05 and 1,721.97

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Solution

The fourth proportional to 2,783.38, 3,842.05 and 1,721.97 is: 2,376.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,783.38 : 3,842.05 = 1,721.97 : x
  2. Step 2: Convert to fraction form
    2,783.38/3,842.05 = 1,721.97/x
  3. Step 3: Cross multiply
    2,783.38x = 3,842.05 × 1,721.97
  4. Step 4: Simplify right side
    2,783.38x = 6,615,894.84
  5. Step 5: Solve for x
    x = 6,615,894.84/2,783.38
  6. Step 6: Final answer
    x = 2,376.93

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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.