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Finding the Fourth Proportional to 2,214.91, 3,323.10 and 828.39

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Solution

The fourth proportional to 2,214.91, 3,323.10 and 828.39 is: 1,242.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,214.91 : 3,323.10 = 828.39 : x
  2. Step 2: Convert to fraction form
    2,214.91/3,323.10 = 828.39/x
  3. Step 3: Cross multiply
    2,214.91x = 3,323.10 × 828.39
  4. Step 4: Simplify right side
    2,214.91x = 2,752,822.81
  5. Step 5: Solve for x
    x = 2,752,822.81/2,214.91
  6. Step 6: Final answer
    x = 1,242.86

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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.