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Finding the Fourth Proportional to 1,641.66, 2,266.32 and 1,267.80

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Solution

The fourth proportional to 1,641.66, 2,266.32 and 1,267.80 is: 1,750.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.66 : 2,266.32 = 1,267.80 : x
  2. Step 2: Convert to fraction form
    1,641.66/2,266.32 = 1,267.80/x
  3. Step 3: Cross multiply
    1,641.66x = 2,266.32 × 1,267.80
  4. Step 4: Simplify right side
    1,641.66x = 2,873,229.16
  5. Step 5: Solve for x
    x = 2,873,229.16/1,641.66
  6. Step 6: Final answer
    x = 1,750.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.