Home / 2,146.98-2,962.90-1,202.78

Finding the Fourth Proportional to 2,146.98, 2,962.90 and 1,202.78

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Solution

The fourth proportional to 2,146.98, 2,962.90 and 1,202.78 is: 1,659.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.98 : 2,962.90 = 1,202.78 : x
  2. Step 2: Convert to fraction form
    2,146.98/2,962.90 = 1,202.78/x
  3. Step 3: Cross multiply
    2,146.98x = 2,962.90 × 1,202.78
  4. Step 4: Simplify right side
    2,146.98x = 3,563,716.86
  5. Step 5: Solve for x
    x = 3,563,716.86/2,146.98
  6. Step 6: Final answer
    x = 1,659.87

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1.5x scale

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.