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Finding the Fourth Proportional to 2,974.01, 4,100.41 and 1,909.90

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Solution

The fourth proportional to 2,974.01, 4,100.41 and 1,909.90 is: 2,633.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.01 : 4,100.41 = 1,909.90 : x
  2. Step 2: Convert to fraction form
    2,974.01/4,100.41 = 1,909.90/x
  3. Step 3: Cross multiply
    2,974.01x = 4,100.41 × 1,909.90
  4. Step 4: Simplify right side
    2,974.01x = 7,831,373.06
  5. Step 5: Solve for x
    x = 7,831,373.06/2,974.01
  6. Step 6: Final answer
    x = 2,633.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.