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Finding the Fourth Proportional to 3,486.98, 5,229.05 and 1,731.35

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Solution

The fourth proportional to 3,486.98, 5,229.05 and 1,731.35 is: 2,596.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.98 : 5,229.05 = 1,731.35 : x
  2. Step 2: Convert to fraction form
    3,486.98/5,229.05 = 1,731.35/x
  3. Step 3: Cross multiply
    3,486.98x = 5,229.05 × 1,731.35
  4. Step 4: Simplify right side
    3,486.98x = 9,053,320.13
  5. Step 5: Solve for x
    x = 9,053,320.13/3,486.98
  6. Step 6: Final answer
    x = 2,596.32

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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.