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Finding the Fourth Proportional to 1,922.65, 2,871.04 and 1,911.13

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Solution

The fourth proportional to 1,922.65, 2,871.04 and 1,911.13 is: 2,853.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.65 : 2,871.04 = 1,911.13 : x
  2. Step 2: Convert to fraction form
    1,922.65/2,871.04 = 1,911.13/x
  3. Step 3: Cross multiply
    1,922.65x = 2,871.04 × 1,911.13
  4. Step 4: Simplify right side
    1,922.65x = 5,486,930.68
  5. Step 5: Solve for x
    x = 5,486,930.68/1,922.65
  6. Step 6: Final answer
    x = 2,853.84

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.