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Finding the Fourth Proportional to 11,606, 16,008.59 and 7,777.75

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Solution

The fourth proportional to 11,606, 16,008.59 and 7,777.75 is: 10,728.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,606 : 16,008.59 = 7,777.75 : x
  2. Step 2: Convert to fraction form
    11,606/16,008.59 = 7,777.75/x
  3. Step 3: Cross multiply
    11,606x = 16,008.59 × 7,777.75
  4. Step 4: Simplify right side
    11,606x = 124,510,691.94
  5. Step 5: Solve for x
    x = 124,510,691.94/11,606
  6. Step 6: Final answer
    x = 10,728.13

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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.