Home / 3,972.64-5,959.92-1,664.80

Finding the Fourth Proportional to 3,972.64, 5,959.92 and 1,664.80

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Solution

The fourth proportional to 3,972.64, 5,959.92 and 1,664.80 is: 2,497.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.64 : 5,959.92 = 1,664.80 : x
  2. Step 2: Convert to fraction form
    3,972.64/5,959.92 = 1,664.80/x
  3. Step 3: Cross multiply
    3,972.64x = 5,959.92 × 1,664.80
  4. Step 4: Simplify right side
    3,972.64x = 9,922,074.82
  5. Step 5: Solve for x
    x = 9,922,074.82/3,972.64
  6. Step 6: Final answer
    x = 2,497.60

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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.