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Finding the Fourth Proportional to 1,641.97, 2,265.73 and 969.90

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Solution

The fourth proportional to 1,641.97, 2,265.73 and 969.90 is: 1,338.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.97 : 2,265.73 = 969.90 : x
  2. Step 2: Convert to fraction form
    1,641.97/2,265.73 = 969.90/x
  3. Step 3: Cross multiply
    1,641.97x = 2,265.73 × 969.90
  4. Step 4: Simplify right side
    1,641.97x = 2,197,531.53
  5. Step 5: Solve for x
    x = 2,197,531.53/1,641.97
  6. Step 6: Final answer
    x = 1,338.35

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1.5x scale

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.