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Finding the Fourth Proportional to 8,409.72, 12,619.38 and 8,390.04

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Solution

The fourth proportional to 8,409.72, 12,619.38 and 8,390.04 is: 12,589.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.72 : 12,619.38 = 8,390.04 : x
  2. Step 2: Convert to fraction form
    8,409.72/12,619.38 = 8,390.04/x
  3. Step 3: Cross multiply
    8,409.72x = 12,619.38 × 8,390.04
  4. Step 4: Simplify right side
    8,409.72x = 105,877,102.98
  5. Step 5: Solve for x
    x = 105,877,102.98/8,409.72
  6. Step 6: Final answer
    x = 12,589.85

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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.