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Finding the Fourth Proportional to 8,707.92, 13,063.84 and 2,865.12

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Solution

The fourth proportional to 8,707.92, 13,063.84 and 2,865.12 is: 4,298.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,707.92 : 13,063.84 = 2,865.12 : x
  2. Step 2: Convert to fraction form
    8,707.92/13,063.84 = 2,865.12/x
  3. Step 3: Cross multiply
    8,707.92x = 13,063.84 × 2,865.12
  4. Step 4: Simplify right side
    8,707.92x = 37,429,469.26
  5. Step 5: Solve for x
    x = 37,429,469.26/8,707.92
  6. Step 6: Final answer
    x = 4,298.32

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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.