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Finding the Fourth Proportional to 2,048.28, 3,072.60 and 661.76

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Solution

The fourth proportional to 2,048.28, 3,072.60 and 661.76 is: 992.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,048.28 : 3,072.60 = 661.76 : x
  2. Step 2: Convert to fraction form
    2,048.28/3,072.60 = 661.76/x
  3. Step 3: Cross multiply
    2,048.28x = 3,072.60 × 661.76
  4. Step 4: Simplify right side
    2,048.28x = 2,033,323.78
  5. Step 5: Solve for x
    x = 2,033,323.78/2,048.28
  6. Step 6: Final answer
    x = 992.70

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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.