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Finding the Fourth Proportional to 8,594.38, 12,879.42 and 3,659.05

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Solution

The fourth proportional to 8,594.38, 12,879.42 and 3,659.05 is: 5,483.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,594.38 : 12,879.42 = 3,659.05 : x
  2. Step 2: Convert to fraction form
    8,594.38/12,879.42 = 3,659.05/x
  3. Step 3: Cross multiply
    8,594.38x = 12,879.42 × 3,659.05
  4. Step 4: Simplify right side
    8,594.38x = 47,126,441.75
  5. Step 5: Solve for x
    x = 47,126,441.75/8,594.38
  6. Step 6: Final answer
    x = 5,483.40

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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.