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Finding the Fourth Proportional to 2,270.68, 3,406.62 and 1,230.22

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Solution

The fourth proportional to 2,270.68, 3,406.62 and 1,230.22 is: 1,845.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.68 : 3,406.62 = 1,230.22 : x
  2. Step 2: Convert to fraction form
    2,270.68/3,406.62 = 1,230.22/x
  3. Step 3: Cross multiply
    2,270.68x = 3,406.62 × 1,230.22
  4. Step 4: Simplify right side
    2,270.68x = 4,190,892.06
  5. Step 5: Solve for x
    x = 4,190,892.06/2,270.68
  6. Step 6: Final answer
    x = 1,845.66

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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.