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Finding the Fourth Proportional to 2,690.92, 4,036.38 and 842.05

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Solution

The fourth proportional to 2,690.92, 4,036.38 and 842.05 is: 1,263.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.92 : 4,036.38 = 842.05 : x
  2. Step 2: Convert to fraction form
    2,690.92/4,036.38 = 842.05/x
  3. Step 3: Cross multiply
    2,690.92x = 4,036.38 × 842.05
  4. Step 4: Simplify right side
    2,690.92x = 3,398,817.70
  5. Step 5: Solve for x
    x = 3,398,817.70/2,690.92
  6. Step 6: Final answer
    x = 1,263.07

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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.