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Finding the Fourth Proportional to 3,982.95, 5,496.26 and 2,214.63

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Solution

The fourth proportional to 3,982.95, 5,496.26 and 2,214.63 is: 3,056.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,982.95 : 5,496.26 = 2,214.63 : x
  2. Step 2: Convert to fraction form
    3,982.95/5,496.26 = 2,214.63/x
  3. Step 3: Cross multiply
    3,982.95x = 5,496.26 × 2,214.63
  4. Step 4: Simplify right side
    3,982.95x = 12,172,171.21
  5. Step 5: Solve for x
    x = 12,172,171.21/3,982.95
  6. Step 6: Final answer
    x = 3,056.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.