Home / 1,977.38-2,965.96-1,003.46

Finding the Fourth Proportional to 1,977.38, 2,965.96 and 1,003.46

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Solution

The fourth proportional to 1,977.38, 2,965.96 and 1,003.46 is: 1,505.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,977.38 : 2,965.96 = 1,003.46 : x
  2. Step 2: Convert to fraction form
    1,977.38/2,965.96 = 1,003.46/x
  3. Step 3: Cross multiply
    1,977.38x = 2,965.96 × 1,003.46
  4. Step 4: Simplify right side
    1,977.38x = 2,976,208.65
  5. Step 5: Solve for x
    x = 2,976,208.65/1,977.38
  6. Step 6: Final answer
    x = 1,505.13

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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.