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Finding the Fourth Proportional to 3,285.54, 4,928.40 and 945.72

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Solution

The fourth proportional to 3,285.54, 4,928.40 and 945.72 is: 1,418.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.54 : 4,928.40 = 945.72 : x
  2. Step 2: Convert to fraction form
    3,285.54/4,928.40 = 945.72/x
  3. Step 3: Cross multiply
    3,285.54x = 4,928.40 × 945.72
  4. Step 4: Simplify right side
    3,285.54x = 4,660,886.45
  5. Step 5: Solve for x
    x = 4,660,886.45/3,285.54
  6. Step 6: Final answer
    x = 1,418.61

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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.