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Finding the Fourth Proportional to 3,511, 5,264.97 and 1,318.20

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Solution

The fourth proportional to 3,511, 5,264.97 and 1,318.20 is: 1,976.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511 : 5,264.97 = 1,318.20 : x
  2. Step 2: Convert to fraction form
    3,511/5,264.97 = 1,318.20/x
  3. Step 3: Cross multiply
    3,511x = 5,264.97 × 1,318.20
  4. Step 4: Simplify right side
    3,511x = 6,940,283.45
  5. Step 5: Solve for x
    x = 6,940,283.45/3,511
  6. Step 6: Final answer
    x = 1,976.73

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1.5x scale

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.