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Finding the Fourth Proportional to 8,506.57, 12,735.89 and 6,419.94

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Solution

The fourth proportional to 8,506.57, 12,735.89 and 6,419.94 is: 9,611.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,506.57 : 12,735.89 = 6,419.94 : x
  2. Step 2: Convert to fraction form
    8,506.57/12,735.89 = 6,419.94/x
  3. Step 3: Cross multiply
    8,506.57x = 12,735.89 × 6,419.94
  4. Step 4: Simplify right side
    8,506.57x = 81,763,649.65
  5. Step 5: Solve for x
    x = 81,763,649.65/8,506.57
  6. Step 6: Final answer
    x = 9,611.82

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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.