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Finding the Fourth Proportional to 11,835, 16,333.92 and 6,867

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Solution

The fourth proportional to 11,835, 16,333.92 and 6,867 is: 9,477.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,835 : 16,333.92 = 6,867 : x
  2. Step 2: Convert to fraction form
    11,835/16,333.92 = 6,867/x
  3. Step 3: Cross multiply
    11,835x = 16,333.92 × 6,867
  4. Step 4: Simplify right side
    11,835x = 112,165,028.64
  5. Step 5: Solve for x
    x = 112,165,028.64/11,835
  6. Step 6: Final answer
    x = 9,477.40

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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.