Home / 1,934.36-2,901.82-780.04

Finding the Fourth Proportional to 1,934.36, 2,901.82 and 780.04

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Solution

The fourth proportional to 1,934.36, 2,901.82 and 780.04 is: 1,170.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,934.36 : 2,901.82 = 780.04 : x
  2. Step 2: Convert to fraction form
    1,934.36/2,901.82 = 780.04/x
  3. Step 3: Cross multiply
    1,934.36x = 2,901.82 × 780.04
  4. Step 4: Simplify right side
    1,934.36x = 2,263,535.67
  5. Step 5: Solve for x
    x = 2,263,535.67/1,934.36
  6. Step 6: Final answer
    x = 1,170.17

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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.