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Finding the Fourth Proportional to 2,629.28, 3,944 and 985.52

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Solution

The fourth proportional to 2,629.28, 3,944 and 985.52 is: 1,478.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,629.28 : 3,944 = 985.52 : x
  2. Step 2: Convert to fraction form
    2,629.28/3,944 = 985.52/x
  3. Step 3: Cross multiply
    2,629.28x = 3,944 × 985.52
  4. Step 4: Simplify right side
    2,629.28x = 3,886,890.88
  5. Step 5: Solve for x
    x = 3,886,890.88/2,629.28
  6. Step 6: Final answer
    x = 1,478.31

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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.