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Finding the Fourth Proportional to 2,270.81, 3,129.17 and 1,640.22

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Solution

The fourth proportional to 2,270.81, 3,129.17 and 1,640.22 is: 2,260.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270.81 : 3,129.17 = 1,640.22 : x
  2. Step 2: Convert to fraction form
    2,270.81/3,129.17 = 1,640.22/x
  3. Step 3: Cross multiply
    2,270.81x = 3,129.17 × 1,640.22
  4. Step 4: Simplify right side
    2,270.81x = 5,132,519.02
  5. Step 5: Solve for x
    x = 5,132,519.02/2,270.81
  6. Step 6: Final answer
    x = 2,260.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.