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Finding the Fourth Proportional to 3,108.94, 4,663.41 and 800.62

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Solution

The fourth proportional to 3,108.94, 4,663.41 and 800.62 is: 1,200.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.94 : 4,663.41 = 800.62 : x
  2. Step 2: Convert to fraction form
    3,108.94/4,663.41 = 800.62/x
  3. Step 3: Cross multiply
    3,108.94x = 4,663.41 × 800.62
  4. Step 4: Simplify right side
    3,108.94x = 3,733,619.31
  5. Step 5: Solve for x
    x = 3,733,619.31/3,108.94
  6. Step 6: Final answer
    x = 1,200.93

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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.