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Finding the Fourth Proportional to 1,932.29, 2,878.05 and 1,891.79

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Solution

The fourth proportional to 1,932.29, 2,878.05 and 1,891.79 is: 2,817.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,932.29 : 2,878.05 = 1,891.79 : x
  2. Step 2: Convert to fraction form
    1,932.29/2,878.05 = 1,891.79/x
  3. Step 3: Cross multiply
    1,932.29x = 2,878.05 × 1,891.79
  4. Step 4: Simplify right side
    1,932.29x = 5,444,642.36
  5. Step 5: Solve for x
    x = 5,444,642.36/1,932.29
  6. Step 6: Final answer
    x = 2,817.72

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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.