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Finding the Fourth Proportional to 11,906.64, 16,438.64 and 7,665.08

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Solution

The fourth proportional to 11,906.64, 16,438.64 and 7,665.08 is: 10,582.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.64 : 16,438.64 = 7,665.08 : x
  2. Step 2: Convert to fraction form
    11,906.64/16,438.64 = 7,665.08/x
  3. Step 3: Cross multiply
    11,906.64x = 16,438.64 × 7,665.08
  4. Step 4: Simplify right side
    11,906.64x = 126,003,490.69
  5. Step 5: Solve for x
    x = 126,003,490.69/11,906.64
  6. Step 6: Final answer
    x = 10,582.62

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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.