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Finding the Fourth Proportional to 3,946.85, 5,920.28 and 3,706.28

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Solution

The fourth proportional to 3,946.85, 5,920.28 and 3,706.28 is: 5,559.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.85 : 5,920.28 = 3,706.28 : x
  2. Step 2: Convert to fraction form
    3,946.85/5,920.28 = 3,706.28/x
  3. Step 3: Cross multiply
    3,946.85x = 5,920.28 × 3,706.28
  4. Step 4: Simplify right side
    3,946.85x = 21,942,215.36
  5. Step 5: Solve for x
    x = 21,942,215.36/3,946.85
  6. Step 6: Final answer
    x = 5,559.42

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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.