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Finding the Fourth Proportional to 2,774.92, 4,162.14 and 1,214.44

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Solution

The fourth proportional to 2,774.92, 4,162.14 and 1,214.44 is: 1,821.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.92 : 4,162.14 = 1,214.44 : x
  2. Step 2: Convert to fraction form
    2,774.92/4,162.14 = 1,214.44/x
  3. Step 3: Cross multiply
    2,774.92x = 4,162.14 × 1,214.44
  4. Step 4: Simplify right side
    2,774.92x = 5,054,669.30
  5. Step 5: Solve for x
    x = 5,054,669.30/2,774.92
  6. Step 6: Final answer
    x = 1,821.55

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.