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Finding the Fourth Proportional to 11,665.86, 16,099.11 and 6,360.90

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Solution

The fourth proportional to 11,665.86, 16,099.11 and 6,360.90 is: 8,778.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.86 : 16,099.11 = 6,360.90 : x
  2. Step 2: Convert to fraction form
    11,665.86/16,099.11 = 6,360.90/x
  3. Step 3: Cross multiply
    11,665.86x = 16,099.11 × 6,360.90
  4. Step 4: Simplify right side
    11,665.86x = 102,404,828.80
  5. Step 5: Solve for x
    x = 102,404,828.80/11,665.86
  6. Step 6: Final answer
    x = 8,778.16

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1.5x scale

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.