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Finding the Fourth Proportional to 1,911.72, 2,865.12 and 1,891.08

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Solution

The fourth proportional to 1,911.72, 2,865.12 and 1,891.08 is: 2,834.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.72 : 2,865.12 = 1,891.08 : x
  2. Step 2: Convert to fraction form
    1,911.72/2,865.12 = 1,891.08/x
  3. Step 3: Cross multiply
    1,911.72x = 2,865.12 × 1,891.08
  4. Step 4: Simplify right side
    1,911.72x = 5,418,171.13
  5. Step 5: Solve for x
    x = 5,418,171.13/1,911.72
  6. Step 6: Final answer
    x = 2,834.19

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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.