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Finding the Fourth Proportional to 2,769.84, 3,821.58 and 2,394

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Solution

The fourth proportional to 2,769.84, 3,821.58 and 2,394 is: 3,303.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,769.84 : 3,821.58 = 2,394 : x
  2. Step 2: Convert to fraction form
    2,769.84/3,821.58 = 2,394/x
  3. Step 3: Cross multiply
    2,769.84x = 3,821.58 × 2,394
  4. Step 4: Simplify right side
    2,769.84x = 9,148,862.52
  5. Step 5: Solve for x
    x = 9,148,862.52/2,769.84
  6. Step 6: Final answer
    x = 3,303.03

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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.