Home / 2,156-2,974.82-1,271.48

Finding the Fourth Proportional to 2,156, 2,974.82 and 1,271.48

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Solution

The fourth proportional to 2,156, 2,974.82 and 1,271.48 is: 1,754.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,156 : 2,974.82 = 1,271.48 : x
  2. Step 2: Convert to fraction form
    2,156/2,974.82 = 1,271.48/x
  3. Step 3: Cross multiply
    2,156x = 2,974.82 × 1,271.48
  4. Step 4: Simplify right side
    2,156x = 3,782,424.13
  5. Step 5: Solve for x
    x = 3,782,424.13/2,156
  6. Step 6: Final answer
    x = 1,754.37

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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.