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Finding the Fourth Proportional to 5,186.91, 7,157.89 and 2,829.15

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Solution

The fourth proportional to 5,186.91, 7,157.89 and 2,829.15 is: 3,904.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.91 : 7,157.89 = 2,829.15 : x
  2. Step 2: Convert to fraction form
    5,186.91/7,157.89 = 2,829.15/x
  3. Step 3: Cross multiply
    5,186.91x = 7,157.89 × 2,829.15
  4. Step 4: Simplify right side
    5,186.91x = 20,250,744.49
  5. Step 5: Solve for x
    x = 20,250,744.49/5,186.91
  6. Step 6: Final answer
    x = 3,904.20

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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.