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Finding the Fourth Proportional to 3,406.95, 5,103.27 and 1,649.43

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Solution

The fourth proportional to 3,406.95, 5,103.27 and 1,649.43 is: 2,470.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.95 : 5,103.27 = 1,649.43 : x
  2. Step 2: Convert to fraction form
    3,406.95/5,103.27 = 1,649.43/x
  3. Step 3: Cross multiply
    3,406.95x = 5,103.27 × 1,649.43
  4. Step 4: Simplify right side
    3,406.95x = 8,417,486.64
  5. Step 5: Solve for x
    x = 8,417,486.64/3,406.95
  6. Step 6: Final answer
    x = 2,470.68

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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.