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Finding the Fourth Proportional to 3,407, 5,107 and 1,649.40

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Solution

The fourth proportional to 3,407, 5,107 and 1,649.40 is: 2,472.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407 : 5,107 = 1,649.40 : x
  2. Step 2: Convert to fraction form
    3,407/5,107 = 1,649.40/x
  3. Step 3: Cross multiply
    3,407x = 5,107 × 1,649.40
  4. Step 4: Simplify right side
    3,407x = 8,423,485.80
  5. Step 5: Solve for x
    x = 8,423,485.80/3,407
  6. Step 6: Final answer
    x = 2,472.41

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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.