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Finding the Fourth Proportional to 11,669.42, 16,103.79 and 6,364.22

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Solution

The fourth proportional to 11,669.42, 16,103.79 and 6,364.22 is: 8,782.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,669.42 : 16,103.79 = 6,364.22 : x
  2. Step 2: Convert to fraction form
    11,669.42/16,103.79 = 6,364.22/x
  3. Step 3: Cross multiply
    11,669.42x = 16,103.79 × 6,364.22
  4. Step 4: Simplify right side
    11,669.42x = 102,487,981.87
  5. Step 5: Solve for x
    x = 102,487,981.87/11,669.42
  6. Step 6: Final answer
    x = 8,782.62

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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.