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Finding the Fourth Proportional to 2,486.69, 3,730.35 and 842.79

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Solution

The fourth proportional to 2,486.69, 3,730.35 and 842.79 is: 1,264.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486.69 : 3,730.35 = 842.79 : x
  2. Step 2: Convert to fraction form
    2,486.69/3,730.35 = 842.79/x
  3. Step 3: Cross multiply
    2,486.69x = 3,730.35 × 842.79
  4. Step 4: Simplify right side
    2,486.69x = 3,143,901.68
  5. Step 5: Solve for x
    x = 3,143,901.68/2,486.69
  6. Step 6: Final answer
    x = 1,264.29

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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.