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Finding the Fourth Proportional to 3,920.50, 5,881.87 and 1,946.73

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Solution

The fourth proportional to 3,920.50, 5,881.87 and 1,946.73 is: 2,920.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.50 : 5,881.87 = 1,946.73 : x
  2. Step 2: Convert to fraction form
    3,920.50/5,881.87 = 1,946.73/x
  3. Step 3: Cross multiply
    3,920.50x = 5,881.87 × 1,946.73
  4. Step 4: Simplify right side
    3,920.50x = 11,450,426.33
  5. Step 5: Solve for x
    x = 11,450,426.33/3,920.50
  6. Step 6: Final answer
    x = 2,920.65

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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.