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Finding the Fourth Proportional to 4,981.89, 7,472.81 and 1,519.14

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Solution

The fourth proportional to 4,981.89, 7,472.81 and 1,519.14 is: 2,278.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,981.89 : 7,472.81 = 1,519.14 : x
  2. Step 2: Convert to fraction form
    4,981.89/7,472.81 = 1,519.14/x
  3. Step 3: Cross multiply
    4,981.89x = 7,472.81 × 1,519.14
  4. Step 4: Simplify right side
    4,981.89x = 11,352,236.99
  5. Step 5: Solve for x
    x = 11,352,236.99/4,981.89
  6. Step 6: Final answer
    x = 2,278.70

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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.