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Finding the Fourth Proportional to 7,224.78, 9,970.16 and 3,912.78

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Solution

The fourth proportional to 7,224.78, 9,970.16 and 3,912.78 is: 5,399.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.78 : 9,970.16 = 3,912.78 : x
  2. Step 2: Convert to fraction form
    7,224.78/9,970.16 = 3,912.78/x
  3. Step 3: Cross multiply
    7,224.78x = 9,970.16 × 3,912.78
  4. Step 4: Simplify right side
    7,224.78x = 39,011,042.64
  5. Step 5: Solve for x
    x = 39,011,042.64/7,224.78
  6. Step 6: Final answer
    x = 5,399.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.