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Finding the Fourth Proportional to 8,539.92, 12,806.40 and 3,859.74

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Solution

The fourth proportional to 8,539.92, 12,806.40 and 3,859.74 is: 5,788.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.92 : 12,806.40 = 3,859.74 : x
  2. Step 2: Convert to fraction form
    8,539.92/12,806.40 = 3,859.74/x
  3. Step 3: Cross multiply
    8,539.92x = 12,806.40 × 3,859.74
  4. Step 4: Simplify right side
    8,539.92x = 49,429,374.34
  5. Step 5: Solve for x
    x = 49,429,374.34/8,539.92
  6. Step 6: Final answer
    x = 5,788.04

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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.