Home / 1,977.14-2,965.98-727.58

Finding the Fourth Proportional to 1,977.14, 2,965.98 and 727.58

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Solution

The fourth proportional to 1,977.14, 2,965.98 and 727.58 is: 1,091.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.14 : 2,965.98 = 727.58 : x
  2. Step 2: Convert to fraction form
    1,977.14/2,965.98 = 727.58/x
  3. Step 3: Cross multiply
    1,977.14x = 2,965.98 × 727.58
  4. Step 4: Simplify right side
    1,977.14x = 2,157,972.90
  5. Step 5: Solve for x
    x = 2,157,972.90/1,977.14
  6. Step 6: Final answer
    x = 1,091.46

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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.