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Finding the Fourth Proportional to 3,966.62, 5,462.84 and 3,880.53

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Solution

The fourth proportional to 3,966.62, 5,462.84 and 3,880.53 is: 5,344.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.62 : 5,462.84 = 3,880.53 : x
  2. Step 2: Convert to fraction form
    3,966.62/5,462.84 = 3,880.53/x
  3. Step 3: Cross multiply
    3,966.62x = 5,462.84 × 3,880.53
  4. Step 4: Simplify right side
    3,966.62x = 21,198,695.10
  5. Step 5: Solve for x
    x = 21,198,695.10/3,966.62
  6. Step 6: Final answer
    x = 5,344.28

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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.