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Finding the Fourth Proportional to 1,845.18, 2,767.89 and 872.22

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Solution

The fourth proportional to 1,845.18, 2,767.89 and 872.22 is: 1,308.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,845.18 : 2,767.89 = 872.22 : x
  2. Step 2: Convert to fraction form
    1,845.18/2,767.89 = 872.22/x
  3. Step 3: Cross multiply
    1,845.18x = 2,767.89 × 872.22
  4. Step 4: Simplify right side
    1,845.18x = 2,414,209.02
  5. Step 5: Solve for x
    x = 2,414,209.02/1,845.18
  6. Step 6: Final answer
    x = 1,308.39

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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.