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Finding the Fourth Proportional to 11,687.88, 17,487.90 and 6,990.60

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Solution

The fourth proportional to 11,687.88, 17,487.90 and 6,990.60 is: 10,459.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,687.88 : 17,487.90 = 6,990.60 : x
  2. Step 2: Convert to fraction form
    11,687.88/17,487.90 = 6,990.60/x
  3. Step 3: Cross multiply
    11,687.88x = 17,487.90 × 6,990.60
  4. Step 4: Simplify right side
    11,687.88x = 122,250,913.74
  5. Step 5: Solve for x
    x = 122,250,913.74/11,687.88
  6. Step 6: Final answer
    x = 10,459.63

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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.