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Finding the Fourth Proportional to 2,048.49, 3,073.11 and 815.87

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Solution

The fourth proportional to 2,048.49, 3,073.11 and 815.87 is: 1,223.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.49 : 3,073.11 = 815.87 : x
  2. Step 2: Convert to fraction form
    2,048.49/3,073.11 = 815.87/x
  3. Step 3: Cross multiply
    2,048.49x = 3,073.11 × 815.87
  4. Step 4: Simplify right side
    2,048.49x = 2,507,269.76
  5. Step 5: Solve for x
    x = 2,507,269.76/2,048.49
  6. Step 6: Final answer
    x = 1,223.96

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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.