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Finding the Fourth Proportional to 9,200.78, 12,698.22 and 5,223.17

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Solution

The fourth proportional to 9,200.78, 12,698.22 and 5,223.17 is: 7,208.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.78 : 12,698.22 = 5,223.17 : x
  2. Step 2: Convert to fraction form
    9,200.78/12,698.22 = 5,223.17/x
  3. Step 3: Cross multiply
    9,200.78x = 12,698.22 × 5,223.17
  4. Step 4: Simplify right side
    9,200.78x = 66,324,898.27
  5. Step 5: Solve for x
    x = 66,324,898.27/9,200.78
  6. Step 6: Final answer
    x = 7,208.62

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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.