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Finding the Fourth Proportional to 1,844.64, 2,767.85 and 920.33

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Solution

The fourth proportional to 1,844.64, 2,767.85 and 920.33 is: 1,380.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.64 : 2,767.85 = 920.33 : x
  2. Step 2: Convert to fraction form
    1,844.64/2,767.85 = 920.33/x
  3. Step 3: Cross multiply
    1,844.64x = 2,767.85 × 920.33
  4. Step 4: Simplify right side
    1,844.64x = 2,547,335.39
  5. Step 5: Solve for x
    x = 2,547,335.39/1,844.64
  6. Step 6: Final answer
    x = 1,380.94

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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.