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Finding the Fourth Proportional to 2,221.83, 3,331.63 and 740.53

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Solution

The fourth proportional to 2,221.83, 3,331.63 and 740.53 is: 1,110.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,221.83 : 3,331.63 = 740.53 : x
  2. Step 2: Convert to fraction form
    2,221.83/3,331.63 = 740.53/x
  3. Step 3: Cross multiply
    2,221.83x = 3,331.63 × 740.53
  4. Step 4: Simplify right side
    2,221.83x = 2,467,161.78
  5. Step 5: Solve for x
    x = 2,467,161.78/2,221.83
  6. Step 6: Final answer
    x = 1,110.42

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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.