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Finding the Fourth Proportional to 3,285.78, 4,928.65 and 945.80

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Solution

The fourth proportional to 3,285.78, 4,928.65 and 945.80 is: 1,418.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.78 : 4,928.65 = 945.80 : x
  2. Step 2: Convert to fraction form
    3,285.78/4,928.65 = 945.80/x
  3. Step 3: Cross multiply
    3,285.78x = 4,928.65 × 945.80
  4. Step 4: Simplify right side
    3,285.78x = 4,661,522.51
  5. Step 5: Solve for x
    x = 4,661,522.51/3,285.78
  6. Step 6: Final answer
    x = 1,418.70

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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.