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Finding the Fourth Proportional to 2,886.84, 3,984.12 and 1,841.04

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Solution

The fourth proportional to 2,886.84, 3,984.12 and 1,841.04 is: 2,540.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.84 : 3,984.12 = 1,841.04 : x
  2. Step 2: Convert to fraction form
    2,886.84/3,984.12 = 1,841.04/x
  3. Step 3: Cross multiply
    2,886.84x = 3,984.12 × 1,841.04
  4. Step 4: Simplify right side
    2,886.84x = 7,334,924.28
  5. Step 5: Solve for x
    x = 7,334,924.28/2,886.84
  6. Step 6: Final answer
    x = 2,540.81

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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.