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Finding the Fourth Proportional to 8,580.60, 12,872.10 and 3,650.20

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Solution

The fourth proportional to 8,580.60, 12,872.10 and 3,650.20 is: 5,475.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,580.60 : 12,872.10 = 3,650.20 : x
  2. Step 2: Convert to fraction form
    8,580.60/12,872.10 = 3,650.20/x
  3. Step 3: Cross multiply
    8,580.60x = 12,872.10 × 3,650.20
  4. Step 4: Simplify right side
    8,580.60x = 46,985,739.42
  5. Step 5: Solve for x
    x = 46,985,739.42/8,580.60
  6. Step 6: Final answer
    x = 5,475.81

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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.