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Finding the Fourth Proportional to 3,400.68, 5,102.43 and 1,426.68

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Solution

The fourth proportional to 3,400.68, 5,102.43 and 1,426.68 is: 2,140.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.68 : 5,102.43 = 1,426.68 : x
  2. Step 2: Convert to fraction form
    3,400.68/5,102.43 = 1,426.68/x
  3. Step 3: Cross multiply
    3,400.68x = 5,102.43 × 1,426.68
  4. Step 4: Simplify right side
    3,400.68x = 7,279,534.83
  5. Step 5: Solve for x
    x = 7,279,534.83/3,400.68
  6. Step 6: Final answer
    x = 2,140.61

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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.