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Finding the Fourth Proportional to 3,308.50, 4,965 and 1,360.68

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Solution

The fourth proportional to 3,308.50, 4,965 and 1,360.68 is: 2,041.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,308.50 : 4,965 = 1,360.68 : x
  2. Step 2: Convert to fraction form
    3,308.50/4,965 = 1,360.68/x
  3. Step 3: Cross multiply
    3,308.50x = 4,965 × 1,360.68
  4. Step 4: Simplify right side
    3,308.50x = 6,755,776.20
  5. Step 5: Solve for x
    x = 6,755,776.20/3,308.50
  6. Step 6: Final answer
    x = 2,041.95

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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.