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Finding the Fourth Proportional to 2,301.96, 3,448.14 and 1,911

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Solution

The fourth proportional to 2,301.96, 3,448.14 and 1,911 is: 2,862.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.96 : 3,448.14 = 1,911 : x
  2. Step 2: Convert to fraction form
    2,301.96/3,448.14 = 1,911/x
  3. Step 3: Cross multiply
    2,301.96x = 3,448.14 × 1,911
  4. Step 4: Simplify right side
    2,301.96x = 6,589,395.54
  5. Step 5: Solve for x
    x = 6,589,395.54/2,301.96
  6. Step 6: Final answer
    x = 2,862.52

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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.