Home / 2,972.91-4,102.25-1,646.43

Finding the Fourth Proportional to 2,972.91, 4,102.25 and 1,646.43

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Solution

The fourth proportional to 2,972.91, 4,102.25 and 1,646.43 is: 2,271.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,972.91 : 4,102.25 = 1,646.43 : x
  2. Step 2: Convert to fraction form
    2,972.91/4,102.25 = 1,646.43/x
  3. Step 3: Cross multiply
    2,972.91x = 4,102.25 × 1,646.43
  4. Step 4: Simplify right side
    2,972.91x = 6,754,059.24
  5. Step 5: Solve for x
    x = 6,754,059.24/2,972.91
  6. Step 6: Final answer
    x = 2,271.87

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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.