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Finding the Fourth Proportional to 3,285.47, 4,928.12 and 945.48

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Solution

The fourth proportional to 3,285.47, 4,928.12 and 945.48 is: 1,418.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.47 : 4,928.12 = 945.48 : x
  2. Step 2: Convert to fraction form
    3,285.47/4,928.12 = 945.48/x
  3. Step 3: Cross multiply
    3,285.47x = 4,928.12 × 945.48
  4. Step 4: Simplify right side
    3,285.47x = 4,659,456.20
  5. Step 5: Solve for x
    x = 4,659,456.20/3,285.47
  6. Step 6: Final answer
    x = 1,418.20

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1.5x scale

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.