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Finding the Fourth Proportional to 2,519.84, 3,472.86 and 2,049.30

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Solution

The fourth proportional to 2,519.84, 3,472.86 and 2,049.30 is: 2,824.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,519.84 : 3,472.86 = 2,049.30 : x
  2. Step 2: Convert to fraction form
    2,519.84/3,472.86 = 2,049.30/x
  3. Step 3: Cross multiply
    2,519.84x = 3,472.86 × 2,049.30
  4. Step 4: Simplify right side
    2,519.84x = 7,116,932.00
  5. Step 5: Solve for x
    x = 7,116,932.00/2,519.84
  6. Step 6: Final answer
    x = 2,824.36

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.