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Finding the Fourth Proportional to 2,048.37, 3,073.01 and 815.83

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Solution

The fourth proportional to 2,048.37, 3,073.01 and 815.83 is: 1,223.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.37 : 3,073.01 = 815.83 : x
  2. Step 2: Convert to fraction form
    2,048.37/3,073.01 = 815.83/x
  3. Step 3: Cross multiply
    2,048.37x = 3,073.01 × 815.83
  4. Step 4: Simplify right side
    2,048.37x = 2,507,053.75
  5. Step 5: Solve for x
    x = 2,507,053.75/2,048.37
  6. Step 6: Final answer
    x = 1,223.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.