Home / 3,196.80-4,788-1,637.28

Finding the Fourth Proportional to 3,196.80, 4,788 and 1,637.28

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Solution

The fourth proportional to 3,196.80, 4,788 and 1,637.28 is: 2,452.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.80 : 4,788 = 1,637.28 : x
  2. Step 2: Convert to fraction form
    3,196.80/4,788 = 1,637.28/x
  3. Step 3: Cross multiply
    3,196.80x = 4,788 × 1,637.28
  4. Step 4: Simplify right side
    3,196.80x = 7,839,296.64
  5. Step 5: Solve for x
    x = 7,839,296.64/3,196.80
  6. Step 6: Final answer
    x = 2,452.23

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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.