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Finding the Fourth Proportional to 7,921.44, 11,882.43 and 2,989.89

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Solution

The fourth proportional to 7,921.44, 11,882.43 and 2,989.89 is: 4,484.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,921.44 : 11,882.43 = 2,989.89 : x
  2. Step 2: Convert to fraction form
    7,921.44/11,882.43 = 2,989.89/x
  3. Step 3: Cross multiply
    7,921.44x = 11,882.43 × 2,989.89
  4. Step 4: Simplify right side
    7,921.44x = 35,527,158.63
  5. Step 5: Solve for x
    x = 35,527,158.63/7,921.44
  6. Step 6: Final answer
    x = 4,484.94

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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.