Home / 2,972.67-4,101.78-1,646.37

Finding the Fourth Proportional to 2,972.67, 4,101.78 and 1,646.37

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Solution

The fourth proportional to 2,972.67, 4,101.78 and 1,646.37 is: 2,271.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.67 : 4,101.78 = 1,646.37 : x
  2. Step 2: Convert to fraction form
    2,972.67/4,101.78 = 1,646.37/x
  3. Step 3: Cross multiply
    2,972.67x = 4,101.78 × 1,646.37
  4. Step 4: Simplify right side
    2,972.67x = 6,753,047.54
  5. Step 5: Solve for x
    x = 6,753,047.54/2,972.67
  6. Step 6: Final answer
    x = 2,271.71

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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.