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Finding the Fourth Proportional to 1,844.15, 2,766.22 and 689.63

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Solution

The fourth proportional to 1,844.15, 2,766.22 and 689.63 is: 1,034.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,844.15 : 2,766.22 = 689.63 : x
  2. Step 2: Convert to fraction form
    1,844.15/2,766.22 = 689.63/x
  3. Step 3: Cross multiply
    1,844.15x = 2,766.22 × 689.63
  4. Step 4: Simplify right side
    1,844.15x = 1,907,652.74
  5. Step 5: Solve for x
    x = 1,907,652.74/1,844.15
  6. Step 6: Final answer
    x = 1,034.44

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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.