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Finding the Fourth Proportional to 1,844.55, 2,764.73 and 919.17

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Solution

The fourth proportional to 1,844.55, 2,764.73 and 919.17 is: 1,377.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.55 : 2,764.73 = 919.17 : x
  2. Step 2: Convert to fraction form
    1,844.55/2,764.73 = 919.17/x
  3. Step 3: Cross multiply
    1,844.55x = 2,764.73 × 919.17
  4. Step 4: Simplify right side
    1,844.55x = 2,541,259.17
  5. Step 5: Solve for x
    x = 2,541,259.17/1,844.55
  6. Step 6: Final answer
    x = 1,377.71

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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.