Home / 2,146.20-2,961.74-1,202

Finding the Fourth Proportional to 2,146.20, 2,961.74 and 1,202

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Solution

The fourth proportional to 2,146.20, 2,961.74 and 1,202 is: 1,658.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.20 : 2,961.74 = 1,202 : x
  2. Step 2: Convert to fraction form
    2,146.20/2,961.74 = 1,202/x
  3. Step 3: Cross multiply
    2,146.20x = 2,961.74 × 1,202
  4. Step 4: Simplify right side
    2,146.20x = 3,560,011.48
  5. Step 5: Solve for x
    x = 3,560,011.48/2,146.20
  6. Step 6: Final answer
    x = 1,658.75

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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.