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Finding the Fourth Proportional to 7,991.84, 11,989.48 and 3,061.47

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Solution

The fourth proportional to 7,991.84, 11,989.48 and 3,061.47 is: 4,592.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,991.84 : 11,989.48 = 3,061.47 : x
  2. Step 2: Convert to fraction form
    7,991.84/11,989.48 = 3,061.47/x
  3. Step 3: Cross multiply
    7,991.84x = 11,989.48 × 3,061.47
  4. Step 4: Simplify right side
    7,991.84x = 36,705,433.34
  5. Step 5: Solve for x
    x = 36,705,433.34/7,991.84
  6. Step 6: Final answer
    x = 4,592.86

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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.