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Finding the Fourth Proportional to 1,716.80, 2,579.04 and 1,652

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Solution

The fourth proportional to 1,716.80, 2,579.04 and 1,652 is: 2,481.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,716.80 : 2,579.04 = 1,652 : x
  2. Step 2: Convert to fraction form
    1,716.80/2,579.04 = 1,652/x
  3. Step 3: Cross multiply
    1,716.80x = 2,579.04 × 1,652
  4. Step 4: Simplify right side
    1,716.80x = 4,260,574.08
  5. Step 5: Solve for x
    x = 4,260,574.08/1,716.80
  6. Step 6: Final answer
    x = 2,481.70

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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.