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Finding the Fourth Proportional to 7,223.40, 9,954.90 and 5,452.20

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Solution

The fourth proportional to 7,223.40, 9,954.90 and 5,452.20 is: 7,513.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.40 : 9,954.90 = 5,452.20 : x
  2. Step 2: Convert to fraction form
    7,223.40/9,954.90 = 5,452.20/x
  3. Step 3: Cross multiply
    7,223.40x = 9,954.90 × 5,452.20
  4. Step 4: Simplify right side
    7,223.40x = 54,276,105.78
  5. Step 5: Solve for x
    x = 54,276,105.78/7,223.40
  6. Step 6: Final answer
    x = 7,513.93

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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.