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Finding the Fourth Proportional to 2,048.85, 3,072.57 and 661.83

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Solution

The fourth proportional to 2,048.85, 3,072.57 and 661.83 is: 992.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.85 : 3,072.57 = 661.83 : x
  2. Step 2: Convert to fraction form
    2,048.85/3,072.57 = 661.83/x
  3. Step 3: Cross multiply
    2,048.85x = 3,072.57 × 661.83
  4. Step 4: Simplify right side
    2,048.85x = 2,033,519.00
  5. Step 5: Solve for x
    x = 2,033,519.00/2,048.85
  6. Step 6: Final answer
    x = 992.52

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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.