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Finding the Fourth Proportional to 2,242.14, 3,362.16 and 781.11

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Solution

The fourth proportional to 2,242.14, 3,362.16 and 781.11 is: 1,171.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.14 : 3,362.16 = 781.11 : x
  2. Step 2: Convert to fraction form
    2,242.14/3,362.16 = 781.11/x
  3. Step 3: Cross multiply
    2,242.14x = 3,362.16 × 781.11
  4. Step 4: Simplify right side
    2,242.14x = 2,626,216.80
  5. Step 5: Solve for x
    x = 2,626,216.80/2,242.14
  6. Step 6: Final answer
    x = 1,171.30

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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.