Home / 1,643.90-2,268.54-935.78

Finding the Fourth Proportional to 1,643.90, 2,268.54 and 935.78

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Solution

The fourth proportional to 1,643.90, 2,268.54 and 935.78 is: 1,291.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.90 : 2,268.54 = 935.78 : x
  2. Step 2: Convert to fraction form
    1,643.90/2,268.54 = 935.78/x
  3. Step 3: Cross multiply
    1,643.90x = 2,268.54 × 935.78
  4. Step 4: Simplify right side
    1,643.90x = 2,122,854.36
  5. Step 5: Solve for x
    x = 2,122,854.36/1,643.90
  6. Step 6: Final answer
    x = 1,291.35

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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.