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Finding the Fourth Proportional to 11,888.72, 16,409.16 and 7,910

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Solution

The fourth proportional to 11,888.72, 16,409.16 and 7,910 is: 10,917.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,888.72 : 16,409.16 = 7,910 : x
  2. Step 2: Convert to fraction form
    11,888.72/16,409.16 = 7,910/x
  3. Step 3: Cross multiply
    11,888.72x = 16,409.16 × 7,910
  4. Step 4: Simplify right side
    11,888.72x = 129,796,455.60
  5. Step 5: Solve for x
    x = 129,796,455.60/11,888.72
  6. Step 6: Final answer
    x = 10,917.61

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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.