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Finding the Fourth Proportional to 9,991.82, 14,989.92 and 2,972.38

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Solution

The fourth proportional to 9,991.82, 14,989.92 and 2,972.38 is: 4,459.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,991.82 : 14,989.92 = 2,972.38 : x
  2. Step 2: Convert to fraction form
    9,991.82/14,989.92 = 2,972.38/x
  3. Step 3: Cross multiply
    9,991.82x = 14,989.92 × 2,972.38
  4. Step 4: Simplify right side
    9,991.82x = 44,555,738.41
  5. Step 5: Solve for x
    x = 44,555,738.41/9,991.82
  6. Step 6: Final answer
    x = 4,459.22

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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.