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Finding the Fourth Proportional to 5,171.72, 7,720.04 and 4,786.24

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Solution

The fourth proportional to 5,171.72, 7,720.04 and 4,786.24 is: 7,144.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.72 : 7,720.04 = 4,786.24 : x
  2. Step 2: Convert to fraction form
    5,171.72/7,720.04 = 4,786.24/x
  3. Step 3: Cross multiply
    5,171.72x = 7,720.04 × 4,786.24
  4. Step 4: Simplify right side
    5,171.72x = 36,949,964.25
  5. Step 5: Solve for x
    x = 36,949,964.25/5,171.72
  6. Step 6: Final answer
    x = 7,144.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.