Home / 1,214.24-1,821.82-727.63

Finding the Fourth Proportional to 1,214.24, 1,821.82 and 727.63

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Solution

The fourth proportional to 1,214.24, 1,821.82 and 727.63 is: 1,091.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.24 : 1,821.82 = 727.63 : x
  2. Step 2: Convert to fraction form
    1,214.24/1,821.82 = 727.63/x
  3. Step 3: Cross multiply
    1,214.24x = 1,821.82 × 727.63
  4. Step 4: Simplify right side
    1,214.24x = 1,325,607.25
  5. Step 5: Solve for x
    x = 1,325,607.25/1,214.24
  6. Step 6: Final answer
    x = 1,091.72

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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.