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Finding the Fourth Proportional to 7,223.94, 9,969.03 and 3,911.94

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Solution

The fourth proportional to 7,223.94, 9,969.03 and 3,911.94 is: 5,398.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,223.94 : 9,969.03 = 3,911.94 : x
  2. Step 2: Convert to fraction form
    7,223.94/9,969.03 = 3,911.94/x
  3. Step 3: Cross multiply
    7,223.94x = 9,969.03 × 3,911.94
  4. Step 4: Simplify right side
    7,223.94x = 38,998,247.22
  5. Step 5: Solve for x
    x = 38,998,247.22/7,223.94
  6. Step 6: Final answer
    x = 5,398.47

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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.