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Finding the Fourth Proportional to 1,833.40, 2,751.16 and 779.14

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Solution

The fourth proportional to 1,833.40, 2,751.16 and 779.14 is: 1,169.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,833.40 : 2,751.16 = 779.14 : x
  2. Step 2: Convert to fraction form
    1,833.40/2,751.16 = 779.14/x
  3. Step 3: Cross multiply
    1,833.40x = 2,751.16 × 779.14
  4. Step 4: Simplify right side
    1,833.40x = 2,143,538.80
  5. Step 5: Solve for x
    x = 2,143,538.80/1,833.40
  6. Step 6: Final answer
    x = 1,169.16

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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.