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Finding the Fourth Proportional to 3,491.91, 5,238.99 and 1,300.95

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Solution

The fourth proportional to 3,491.91, 5,238.99 and 1,300.95 is: 1,951.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,491.91 : 5,238.99 = 1,300.95 : x
  2. Step 2: Convert to fraction form
    3,491.91/5,238.99 = 1,300.95/x
  3. Step 3: Cross multiply
    3,491.91x = 5,238.99 × 1,300.95
  4. Step 4: Simplify right side
    3,491.91x = 6,815,664.04
  5. Step 5: Solve for x
    x = 6,815,664.04/3,491.91
  6. Step 6: Final answer
    x = 1,951.84

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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.