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Finding the Fourth Proportional to 7,224.48, 9,969.88 and 3,912.48

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Solution

The fourth proportional to 7,224.48, 9,969.88 and 3,912.48 is: 5,399.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,224.48 : 9,969.88 = 3,912.48 : x
  2. Step 2: Convert to fraction form
    7,224.48/9,969.88 = 3,912.48/x
  3. Step 3: Cross multiply
    7,224.48x = 9,969.88 × 3,912.48
  4. Step 4: Simplify right side
    7,224.48x = 39,006,956.10
  5. Step 5: Solve for x
    x = 39,006,956.10/7,224.48
  6. Step 6: Final answer
    x = 5,399.28

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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.