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Finding the Fourth Proportional to 3,290, 4,926.98 and 1,731.30

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Solution

The fourth proportional to 3,290, 4,926.98 and 1,731.30 is: 2,592.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290 : 4,926.98 = 1,731.30 : x
  2. Step 2: Convert to fraction form
    3,290/4,926.98 = 1,731.30/x
  3. Step 3: Cross multiply
    3,290x = 4,926.98 × 1,731.30
  4. Step 4: Simplify right side
    3,290x = 8,530,080.47
  5. Step 5: Solve for x
    x = 8,530,080.47/3,290
  6. Step 6: Final answer
    x = 2,592.73

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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.