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Finding the Fourth Proportional to 2,486.77, 3,730.34 and 842.65

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Solution

The fourth proportional to 2,486.77, 3,730.34 and 842.65 is: 1,264.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.77 : 3,730.34 = 842.65 : x
  2. Step 2: Convert to fraction form
    2,486.77/3,730.34 = 842.65/x
  3. Step 3: Cross multiply
    2,486.77x = 3,730.34 × 842.65
  4. Step 4: Simplify right side
    2,486.77x = 3,143,371.00
  5. Step 5: Solve for x
    x = 3,143,371.00/2,486.77
  6. Step 6: Final answer
    x = 1,264.04

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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.