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Finding the Fourth Proportional to 1,715.88, 2,571.94 and 1,227.44

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Solution

The fourth proportional to 1,715.88, 2,571.94 and 1,227.44 is: 1,839.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.88 : 2,571.94 = 1,227.44 : x
  2. Step 2: Convert to fraction form
    1,715.88/2,571.94 = 1,227.44/x
  3. Step 3: Cross multiply
    1,715.88x = 2,571.94 × 1,227.44
  4. Step 4: Simplify right side
    1,715.88x = 3,156,902.03
  5. Step 5: Solve for x
    x = 3,156,902.03/1,715.88
  6. Step 6: Final answer
    x = 1,839.82

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1.5x scale

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.