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Finding the Fourth Proportional to 11,160.84, 16,722.84 and 7,857.84

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Solution

The fourth proportional to 11,160.84, 16,722.84 and 7,857.84 is: 11,773.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,160.84 : 16,722.84 = 7,857.84 : x
  2. Step 2: Convert to fraction form
    11,160.84/16,722.84 = 7,857.84/x
  3. Step 3: Cross multiply
    11,160.84x = 16,722.84 × 7,857.84
  4. Step 4: Simplify right side
    11,160.84x = 131,405,401.07
  5. Step 5: Solve for x
    x = 131,405,401.07/11,160.84
  6. Step 6: Final answer
    x = 11,773.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.