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Finding the Fourth Proportional to 3,309.87, 4,957.24 and 1,579.71

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Solution

The fourth proportional to 3,309.87, 4,957.24 and 1,579.71 is: 2,365.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.87 : 4,957.24 = 1,579.71 : x
  2. Step 2: Convert to fraction form
    3,309.87/4,957.24 = 1,579.71/x
  3. Step 3: Cross multiply
    3,309.87x = 4,957.24 × 1,579.71
  4. Step 4: Simplify right side
    3,309.87x = 7,830,982.02
  5. Step 5: Solve for x
    x = 7,830,982.02/3,309.87
  6. Step 6: Final answer
    x = 2,365.95

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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.