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Finding the Fourth Proportional to 6,912.54, 9,540.63 and 6,490.53

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Solution

The fourth proportional to 6,912.54, 9,540.63 and 6,490.53 is: 8,958.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,912.54 : 9,540.63 = 6,490.53 : x
  2. Step 2: Convert to fraction form
    6,912.54/9,540.63 = 6,490.53/x
  3. Step 3: Cross multiply
    6,912.54x = 9,540.63 × 6,490.53
  4. Step 4: Simplify right side
    6,912.54x = 61,923,745.23
  5. Step 5: Solve for x
    x = 61,923,745.23/6,912.54
  6. Step 6: Final answer
    x = 8,958.18

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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.