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Finding the Fourth Proportional to 3,966.30, 5,473.71 and 2,287.71

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Solution

The fourth proportional to 3,966.30, 5,473.71 and 2,287.71 is: 3,157.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.30 : 5,473.71 = 2,287.71 : x
  2. Step 2: Convert to fraction form
    3,966.30/5,473.71 = 2,287.71/x
  3. Step 3: Cross multiply
    3,966.30x = 5,473.71 × 2,287.71
  4. Step 4: Simplify right side
    3,966.30x = 12,522,261.10
  5. Step 5: Solve for x
    x = 12,522,261.10/3,966.30
  6. Step 6: Final answer
    x = 3,157.16

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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.