Home / 2,972.43-4,101.84-1,646.06

Finding the Fourth Proportional to 2,972.43, 4,101.84 and 1,646.06

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Solution

The fourth proportional to 2,972.43, 4,101.84 and 1,646.06 is: 2,271.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.43 : 4,101.84 = 1,646.06 : x
  2. Step 2: Convert to fraction form
    2,972.43/4,101.84 = 1,646.06/x
  3. Step 3: Cross multiply
    2,972.43x = 4,101.84 × 1,646.06
  4. Step 4: Simplify right side
    2,972.43x = 6,751,854.24
  5. Step 5: Solve for x
    x = 6,751,854.24/2,972.43
  6. Step 6: Final answer
    x = 2,271.49

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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.