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Finding the Fourth Proportional to 1,822.93, 2,734.40 and 726.73

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Solution

The fourth proportional to 1,822.93, 2,734.40 and 726.73 is: 1,090.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.93 : 2,734.40 = 726.73 : x
  2. Step 2: Convert to fraction form
    1,822.93/2,734.40 = 726.73/x
  3. Step 3: Cross multiply
    1,822.93x = 2,734.40 × 726.73
  4. Step 4: Simplify right side
    1,822.93x = 1,987,170.51
  5. Step 5: Solve for x
    x = 1,987,170.51/1,822.93
  6. Step 6: Final answer
    x = 1,090.10

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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.