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Finding the Fourth Proportional to 2,983.71, 4,472.19 and 1,519.77

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Solution

The fourth proportional to 2,983.71, 4,472.19 and 1,519.77 is: 2,277.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.71 : 4,472.19 = 1,519.77 : x
  2. Step 2: Convert to fraction form
    2,983.71/4,472.19 = 1,519.77/x
  3. Step 3: Cross multiply
    2,983.71x = 4,472.19 × 1,519.77
  4. Step 4: Simplify right side
    2,983.71x = 6,796,700.20
  5. Step 5: Solve for x
    x = 6,796,700.20/2,983.71
  6. Step 6: Final answer
    x = 2,277.94

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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.