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Finding the Fourth Proportional to 2,241.90, 3,362.86 and 781.05

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Solution

The fourth proportional to 2,241.90, 3,362.86 and 781.05 is: 1,171.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241.90 : 3,362.86 = 781.05 : x
  2. Step 2: Convert to fraction form
    2,241.90/3,362.86 = 781.05/x
  3. Step 3: Cross multiply
    2,241.90x = 3,362.86 × 781.05
  4. Step 4: Simplify right side
    2,241.90x = 2,626,561.80
  5. Step 5: Solve for x
    x = 2,626,561.80/2,241.90
  6. Step 6: Final answer
    x = 1,171.58

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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.