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Finding the Fourth Proportional to 2,821.42, 3,891.72 and 2,231.74

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Solution

The fourth proportional to 2,821.42, 3,891.72 and 2,231.74 is: 3,078.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,821.42 : 3,891.72 = 2,231.74 : x
  2. Step 2: Convert to fraction form
    2,821.42/3,891.72 = 2,231.74/x
  3. Step 3: Cross multiply
    2,821.42x = 3,891.72 × 2,231.74
  4. Step 4: Simplify right side
    2,821.42x = 8,685,307.19
  5. Step 5: Solve for x
    x = 8,685,307.19/2,821.42
  6. Step 6: Final answer
    x = 3,078.35

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1.5x scale

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.