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Finding the Fourth Proportional to 2,222.80, 3,334.96 and 991.06

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Solution

The fourth proportional to 2,222.80, 3,334.96 and 991.06 is: 1,486.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,222.80 : 3,334.96 = 991.06 : x
  2. Step 2: Convert to fraction form
    2,222.80/3,334.96 = 991.06/x
  3. Step 3: Cross multiply
    2,222.80x = 3,334.96 × 991.06
  4. Step 4: Simplify right side
    2,222.80x = 3,305,145.46
  5. Step 5: Solve for x
    x = 3,305,145.46/2,222.80
  6. Step 6: Final answer
    x = 1,486.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.