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Finding the Fourth Proportional to 8,439.62, 12,659.76 and 3,174.08

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Solution

The fourth proportional to 8,439.62, 12,659.76 and 3,174.08 is: 4,761.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,439.62 : 12,659.76 = 3,174.08 : x
  2. Step 2: Convert to fraction form
    8,439.62/12,659.76 = 3,174.08/x
  3. Step 3: Cross multiply
    8,439.62x = 12,659.76 × 3,174.08
  4. Step 4: Simplify right side
    8,439.62x = 40,183,027.72
  5. Step 5: Solve for x
    x = 40,183,027.72/8,439.62
  6. Step 6: Final answer
    x = 4,761.24

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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.