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Finding the Fourth Proportional to 2,789.94, 4,184.90 and 1,124.82

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Solution

The fourth proportional to 2,789.94, 4,184.90 and 1,124.82 is: 1,687.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,789.94 : 4,184.90 = 1,124.82 : x
  2. Step 2: Convert to fraction form
    2,789.94/4,184.90 = 1,124.82/x
  3. Step 3: Cross multiply
    2,789.94x = 4,184.90 × 1,124.82
  4. Step 4: Simplify right side
    2,789.94x = 4,707,257.81
  5. Step 5: Solve for x
    x = 4,707,257.81/2,789.94
  6. Step 6: Final answer
    x = 1,687.22

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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.