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Finding the Fourth Proportional to 2,223.86, 3,333.70 and 991.46

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Solution

The fourth proportional to 2,223.86, 3,333.70 and 991.46 is: 1,486.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,223.86 : 3,333.70 = 991.46 : x
  2. Step 2: Convert to fraction form
    2,223.86/3,333.70 = 991.46/x
  3. Step 3: Cross multiply
    2,223.86x = 3,333.70 × 991.46
  4. Step 4: Simplify right side
    2,223.86x = 3,305,230.20
  5. Step 5: Solve for x
    x = 3,305,230.20/2,223.86
  6. Step 6: Final answer
    x = 1,486.26

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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.