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Finding the Fourth Proportional to 11,710.45, 16,166 and 7,236.82

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Solution

The fourth proportional to 11,710.45, 16,166 and 7,236.82 is: 9,990.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,710.45 : 16,166 = 7,236.82 : x
  2. Step 2: Convert to fraction form
    11,710.45/16,166 = 7,236.82/x
  3. Step 3: Cross multiply
    11,710.45x = 16,166 × 7,236.82
  4. Step 4: Simplify right side
    11,710.45x = 116,990,432.12
  5. Step 5: Solve for x
    x = 116,990,432.12/11,710.45
  6. Step 6: Final answer
    x = 9,990.26

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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.