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Finding the Fourth Proportional to 3,285.81, 4,930.10 and 1,972.10

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Solution

The fourth proportional to 3,285.81, 4,930.10 and 1,972.10 is: 2,958.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,285.81 : 4,930.10 = 1,972.10 : x
  2. Step 2: Convert to fraction form
    3,285.81/4,930.10 = 1,972.10/x
  3. Step 3: Cross multiply
    3,285.81x = 4,930.10 × 1,972.10
  4. Step 4: Simplify right side
    3,285.81x = 9,722,615.70
  5. Step 5: Solve for x
    x = 9,722,615.70/3,285.81
  6. Step 6: Final answer
    x = 2,958.97

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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.