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Finding the Fourth Proportional to 8,572.86, 12,859.66 and 4,194

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Solution

The fourth proportional to 8,572.86, 12,859.66 and 4,194 is: 6,291.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,572.86 : 12,859.66 = 4,194 : x
  2. Step 2: Convert to fraction form
    8,572.86/12,859.66 = 4,194/x
  3. Step 3: Cross multiply
    8,572.86x = 12,859.66 × 4,194
  4. Step 4: Simplify right side
    8,572.86x = 53,933,414.04
  5. Step 5: Solve for x
    x = 53,933,414.04/8,572.86
  6. Step 6: Final answer
    x = 6,291.18

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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.