Home / 1,214.24-1,674.12-821.84

Finding the Fourth Proportional to 1,214.24, 1,674.12 and 821.84

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Solution

The fourth proportional to 1,214.24, 1,674.12 and 821.84 is: 1,133.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.24 : 1,674.12 = 821.84 : x
  2. Step 2: Convert to fraction form
    1,214.24/1,674.12 = 821.84/x
  3. Step 3: Cross multiply
    1,214.24x = 1,674.12 × 821.84
  4. Step 4: Simplify right side
    1,214.24x = 1,375,858.78
  5. Step 5: Solve for x
    x = 1,375,858.78/1,214.24
  6. Step 6: Final answer
    x = 1,133.10

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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.