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Finding the Fourth Proportional to 10,801, 14,907 and 6,611.68

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Solution

The fourth proportional to 10,801, 14,907 and 6,611.68 is: 9,125.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,801 : 14,907 = 6,611.68 : x
  2. Step 2: Convert to fraction form
    10,801/14,907 = 6,611.68/x
  3. Step 3: Cross multiply
    10,801x = 14,907 × 6,611.68
  4. Step 4: Simplify right side
    10,801x = 98,560,313.76
  5. Step 5: Solve for x
    x = 98,560,313.76/10,801
  6. Step 6: Final answer
    x = 9,125.11

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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.