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Finding the Fourth Proportional to 6,906.90, 9,535.12 and 5,391.20

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Solution

The fourth proportional to 6,906.90, 9,535.12 and 5,391.20 is: 7,442.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.90 : 9,535.12 = 5,391.20 : x
  2. Step 2: Convert to fraction form
    6,906.90/9,535.12 = 5,391.20/x
  3. Step 3: Cross multiply
    6,906.90x = 9,535.12 × 5,391.20
  4. Step 4: Simplify right side
    6,906.90x = 51,405,738.94
  5. Step 5: Solve for x
    x = 51,405,738.94/6,906.90
  6. Step 6: Final answer
    x = 7,442.66

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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.