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Finding the Fourth Proportional to 3,508, 5,260.96 and 1,657.28

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Solution

The fourth proportional to 3,508, 5,260.96 and 1,657.28 is: 2,485.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508 : 5,260.96 = 1,657.28 : x
  2. Step 2: Convert to fraction form
    3,508/5,260.96 = 1,657.28/x
  3. Step 3: Cross multiply
    3,508x = 5,260.96 × 1,657.28
  4. Step 4: Simplify right side
    3,508x = 8,718,883.79
  5. Step 5: Solve for x
    x = 8,718,883.79/3,508
  6. Step 6: Final answer
    x = 2,485.43

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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.