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Finding the Fourth Proportional to 11,867.60, 16,381.16 and 8,331.68

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Solution

The fourth proportional to 11,867.60, 16,381.16 and 8,331.68 is: 11,500.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,867.60 : 16,381.16 = 8,331.68 : x
  2. Step 2: Convert to fraction form
    11,867.60/16,381.16 = 8,331.68/x
  3. Step 3: Cross multiply
    11,867.60x = 16,381.16 × 8,331.68
  4. Step 4: Simplify right side
    11,867.60x = 136,482,583.15
  5. Step 5: Solve for x
    x = 136,482,583.15/11,867.60
  6. Step 6: Final answer
    x = 11,500.44

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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.