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Finding the Fourth Proportional to 3,507.88, 5,258.49 and 1,400.80

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Solution

The fourth proportional to 3,507.88, 5,258.49 and 1,400.80 is: 2,099.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,507.88 : 5,258.49 = 1,400.80 : x
  2. Step 2: Convert to fraction form
    3,507.88/5,258.49 = 1,400.80/x
  3. Step 3: Cross multiply
    3,507.88x = 5,258.49 × 1,400.80
  4. Step 4: Simplify right side
    3,507.88x = 7,366,092.79
  5. Step 5: Solve for x
    x = 7,366,092.79/3,507.88
  6. Step 6: Final answer
    x = 2,099.87

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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.