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Finding the Fourth Proportional to 6,157.82, 9,230.28 and 2,868.20

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Solution

The fourth proportional to 6,157.82, 9,230.28 and 2,868.20 is: 4,299.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.82 : 9,230.28 = 2,868.20 : x
  2. Step 2: Convert to fraction form
    6,157.82/9,230.28 = 2,868.20/x
  3. Step 3: Cross multiply
    6,157.82x = 9,230.28 × 2,868.20
  4. Step 4: Simplify right side
    6,157.82x = 26,474,289.10
  5. Step 5: Solve for x
    x = 26,474,289.10/6,157.82
  6. Step 6: Final answer
    x = 4,299.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.