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Finding the Fourth Proportional to 3,970.43, 5,946.16 and 2,211.06

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Solution

The fourth proportional to 3,970.43, 5,946.16 and 2,211.06 is: 3,311.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.43 : 5,946.16 = 2,211.06 : x
  2. Step 2: Convert to fraction form
    3,970.43/5,946.16 = 2,211.06/x
  3. Step 3: Cross multiply
    3,970.43x = 5,946.16 × 2,211.06
  4. Step 4: Simplify right side
    3,970.43x = 13,147,316.53
  5. Step 5: Solve for x
    x = 13,147,316.53/3,970.43
  6. Step 6: Final answer
    x = 3,311.31

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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.