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Finding the Fourth Proportional to 1,888.58, 2,839.01 and 1,162.76

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Solution

The fourth proportional to 1,888.58, 2,839.01 and 1,162.76 is: 1,747.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.58 : 2,839.01 = 1,162.76 : x
  2. Step 2: Convert to fraction form
    1,888.58/2,839.01 = 1,162.76/x
  3. Step 3: Cross multiply
    1,888.58x = 2,839.01 × 1,162.76
  4. Step 4: Simplify right side
    1,888.58x = 3,301,067.26
  5. Step 5: Solve for x
    x = 3,301,067.26/1,888.58
  6. Step 6: Final answer
    x = 1,747.91

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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.