Home / 1,987.83-2,964.24-1,849.32

Finding the Fourth Proportional to 1,987.83, 2,964.24 and 1,849.32

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Solution

The fourth proportional to 1,987.83, 2,964.24 and 1,849.32 is: 2,757.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987.83 : 2,964.24 = 1,849.32 : x
  2. Step 2: Convert to fraction form
    1,987.83/2,964.24 = 1,849.32/x
  3. Step 3: Cross multiply
    1,987.83x = 2,964.24 × 1,849.32
  4. Step 4: Simplify right side
    1,987.83x = 5,481,828.32
  5. Step 5: Solve for x
    x = 5,481,828.32/1,987.83
  6. Step 6: Final answer
    x = 2,757.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.