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Finding the Fourth Proportional to 8,509.94, 12,764.92 and 4,128.04

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Solution

The fourth proportional to 8,509.94, 12,764.92 and 4,128.04 is: 6,192.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.94 : 12,764.92 = 4,128.04 : x
  2. Step 2: Convert to fraction form
    8,509.94/12,764.92 = 4,128.04/x
  3. Step 3: Cross multiply
    8,509.94x = 12,764.92 × 4,128.04
  4. Step 4: Simplify right side
    8,509.94x = 52,694,100.36
  5. Step 5: Solve for x
    x = 52,694,100.36/8,509.94
  6. Step 6: Final answer
    x = 6,192.06

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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.