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Finding the Fourth Proportional to 11,684.60, 16,125.13 and 6,379.70

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Solution

The fourth proportional to 11,684.60, 16,125.13 and 6,379.70 is: 8,804.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,684.60 : 16,125.13 = 6,379.70 : x
  2. Step 2: Convert to fraction form
    11,684.60/16,125.13 = 6,379.70/x
  3. Step 3: Cross multiply
    11,684.60x = 16,125.13 × 6,379.70
  4. Step 4: Simplify right side
    11,684.60x = 102,873,491.86
  5. Step 5: Solve for x
    x = 102,873,491.86/11,684.60
  6. Step 6: Final answer
    x = 8,804.19

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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.