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Finding the Fourth Proportional to 2,821.76, 3,894.20 and 2,079.08

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Solution

The fourth proportional to 2,821.76, 3,894.20 and 2,079.08 is: 2,869.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.76 : 3,894.20 = 2,079.08 : x
  2. Step 2: Convert to fraction form
    2,821.76/3,894.20 = 2,079.08/x
  3. Step 3: Cross multiply
    2,821.76x = 3,894.20 × 2,079.08
  4. Step 4: Simplify right side
    2,821.76x = 8,096,353.34
  5. Step 5: Solve for x
    x = 8,096,353.34/2,821.76
  6. Step 6: Final answer
    x = 2,869.26

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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.