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Finding the Fourth Proportional to 5,186.87, 7,157.98 and 2,829.10

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Solution

The fourth proportional to 5,186.87, 7,157.98 and 2,829.10 is: 3,904.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.87 : 7,157.98 = 2,829.10 : x
  2. Step 2: Convert to fraction form
    5,186.87/7,157.98 = 2,829.10/x
  3. Step 3: Cross multiply
    5,186.87x = 7,157.98 × 2,829.10
  4. Step 4: Simplify right side
    5,186.87x = 20,250,626.86
  5. Step 5: Solve for x
    x = 20,250,626.86/5,186.87
  6. Step 6: Final answer
    x = 3,904.21

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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.