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Finding the Fourth Proportional to 3,397.64, 4,688.78 and 1,982.21

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Solution

The fourth proportional to 3,397.64, 4,688.78 and 1,982.21 is: 2,735.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.64 : 4,688.78 = 1,982.21 : x
  2. Step 2: Convert to fraction form
    3,397.64/4,688.78 = 1,982.21/x
  3. Step 3: Cross multiply
    3,397.64x = 4,688.78 × 1,982.21
  4. Step 4: Simplify right side
    3,397.64x = 9,294,113.25
  5. Step 5: Solve for x
    x = 9,294,113.25/3,397.64
  6. Step 6: Final answer
    x = 2,735.47

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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.