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Finding the Fourth Proportional to 2,816.86, 4,224.91 and 736.70

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Solution

The fourth proportional to 2,816.86, 4,224.91 and 736.70 is: 1,104.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,816.86 : 4,224.91 = 736.70 : x
  2. Step 2: Convert to fraction form
    2,816.86/4,224.91 = 736.70/x
  3. Step 3: Cross multiply
    2,816.86x = 4,224.91 × 736.70
  4. Step 4: Simplify right side
    2,816.86x = 3,112,491.20
  5. Step 5: Solve for x
    x = 3,112,491.20/2,816.86
  6. Step 6: Final answer
    x = 1,104.95

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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.