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Finding the Fourth Proportional to 1,817, 2,713.09 and 1,491.56

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Solution

The fourth proportional to 1,817, 2,713.09 and 1,491.56 is: 2,227.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817 : 2,713.09 = 1,491.56 : x
  2. Step 2: Convert to fraction form
    1,817/2,713.09 = 1,491.56/x
  3. Step 3: Cross multiply
    1,817x = 2,713.09 × 1,491.56
  4. Step 4: Simplify right side
    1,817x = 4,046,736.52
  5. Step 5: Solve for x
    x = 4,046,736.52/1,817
  6. Step 6: Final answer
    x = 2,227.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.