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Finding the Fourth Proportional to 19,604.70, 29,407 and 8,509.95

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Solution

The fourth proportional to 19,604.70, 29,407 and 8,509.95 is: 12,764.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,604.70 : 29,407 = 8,509.95 : x
  2. Step 2: Convert to fraction form
    19,604.70/29,407 = 8,509.95/x
  3. Step 3: Cross multiply
    19,604.70x = 29,407 × 8,509.95
  4. Step 4: Simplify right side
    19,604.70x = 250,252,099.65
  5. Step 5: Solve for x
    x = 250,252,099.65/19,604.70
  6. Step 6: Final answer
    x = 12,764.90

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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.