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Finding the Fourth Proportional to 11,861.90, 16,367.72 and 6,824.19

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Solution

The fourth proportional to 11,861.90, 16,367.72 and 6,824.19 is: 9,416.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,861.90 : 16,367.72 = 6,824.19 : x
  2. Step 2: Convert to fraction form
    11,861.90/16,367.72 = 6,824.19/x
  3. Step 3: Cross multiply
    11,861.90x = 16,367.72 × 6,824.19
  4. Step 4: Simplify right side
    11,861.90x = 111,696,431.15
  5. Step 5: Solve for x
    x = 111,696,431.15/11,861.90
  6. Step 6: Final answer
    x = 9,416.40

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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.