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Finding the Fourth Proportional to 3,110.49, 4,665.81 and 801.99

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Solution

The fourth proportional to 3,110.49, 4,665.81 and 801.99 is: 1,203.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,110.49 : 4,665.81 = 801.99 : x
  2. Step 2: Convert to fraction form
    3,110.49/4,665.81 = 801.99/x
  3. Step 3: Cross multiply
    3,110.49x = 4,665.81 × 801.99
  4. Step 4: Simplify right side
    3,110.49x = 3,741,932.96
  5. Step 5: Solve for x
    x = 3,741,932.96/3,110.49
  6. Step 6: Final answer
    x = 1,203.00

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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.