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Finding the Fourth Proportional to 3,981.88, 5,974.34 and 1,484.59

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Solution

The fourth proportional to 3,981.88, 5,974.34 and 1,484.59 is: 2,227.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.88 : 5,974.34 = 1,484.59 : x
  2. Step 2: Convert to fraction form
    3,981.88/5,974.34 = 1,484.59/x
  3. Step 3: Cross multiply
    3,981.88x = 5,974.34 × 1,484.59
  4. Step 4: Simplify right side
    3,981.88x = 8,869,438.00
  5. Step 5: Solve for x
    x = 8,869,438.00/3,981.88
  6. Step 6: Final answer
    x = 2,227.45

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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.