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Finding the Fourth Proportional to 1,974.96, 2,725.80 and 1,642.96

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Solution

The fourth proportional to 1,974.96, 2,725.80 and 1,642.96 is: 2,267.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.96 : 2,725.80 = 1,642.96 : x
  2. Step 2: Convert to fraction form
    1,974.96/2,725.80 = 1,642.96/x
  3. Step 3: Cross multiply
    1,974.96x = 2,725.80 × 1,642.96
  4. Step 4: Simplify right side
    1,974.96x = 4,478,380.37
  5. Step 5: Solve for x
    x = 4,478,380.37/1,974.96
  6. Step 6: Final answer
    x = 2,267.58

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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.