Home / 2,972.82-4,102.58-1,646.49

Finding the Fourth Proportional to 2,972.82, 4,102.58 and 1,646.49

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Solution

The fourth proportional to 2,972.82, 4,102.58 and 1,646.49 is: 2,272.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.82 : 4,102.58 = 1,646.49 : x
  2. Step 2: Convert to fraction form
    2,972.82/4,102.58 = 1,646.49/x
  3. Step 3: Cross multiply
    2,972.82x = 4,102.58 × 1,646.49
  4. Step 4: Simplify right side
    2,972.82x = 6,754,858.97
  5. Step 5: Solve for x
    x = 6,754,858.97/2,972.82
  6. Step 6: Final answer
    x = 2,272.21

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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.