Home / 1,535.25-2,117.97-905.43

Finding the Fourth Proportional to 1,535.25, 2,117.97 and 905.43

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Solution

The fourth proportional to 1,535.25, 2,117.97 and 905.43 is: 1,249.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.25 : 2,117.97 = 905.43 : x
  2. Step 2: Convert to fraction form
    1,535.25/2,117.97 = 905.43/x
  3. Step 3: Cross multiply
    1,535.25x = 2,117.97 × 905.43
  4. Step 4: Simplify right side
    1,535.25x = 1,917,673.58
  5. Step 5: Solve for x
    x = 1,917,673.58/1,535.25
  6. Step 6: Final answer
    x = 1,249.10

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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.