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Finding the Fourth Proportional to 11,706, 16,154.21 and 6,400.85

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Solution

The fourth proportional to 11,706, 16,154.21 and 6,400.85 is: 8,833.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706 : 16,154.21 = 6,400.85 : x
  2. Step 2: Convert to fraction form
    11,706/16,154.21 = 6,400.85/x
  3. Step 3: Cross multiply
    11,706x = 16,154.21 × 6,400.85
  4. Step 4: Simplify right side
    11,706x = 103,400,562.30
  5. Step 5: Solve for x
    x = 103,400,562.30/11,706
  6. Step 6: Final answer
    x = 8,833.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.