Home / 7,159.14-10,738.89-1,965

Finding the Fourth Proportional to 7,159.14, 10,738.89 and 1,965

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Solution

The fourth proportional to 7,159.14, 10,738.89 and 1,965 is: 2,947.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,159.14 : 10,738.89 = 1,965 : x
  2. Step 2: Convert to fraction form
    7,159.14/10,738.89 = 1,965/x
  3. Step 3: Cross multiply
    7,159.14x = 10,738.89 × 1,965
  4. Step 4: Simplify right side
    7,159.14x = 21,101,918.85
  5. Step 5: Solve for x
    x = 21,101,918.85/7,159.14
  6. Step 6: Final answer
    x = 2,947.55

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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.