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Finding the Fourth Proportional to 6,490.02, 9,736.84 and 5,447.56

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Solution

The fourth proportional to 6,490.02, 9,736.84 and 5,447.56 is: 8,172.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.02 : 9,736.84 = 5,447.56 : x
  2. Step 2: Convert to fraction form
    6,490.02/9,736.84 = 5,447.56/x
  3. Step 3: Cross multiply
    6,490.02x = 9,736.84 × 5,447.56
  4. Step 4: Simplify right side
    6,490.02x = 53,042,020.11
  5. Step 5: Solve for x
    x = 53,042,020.11/6,490.02
  6. Step 6: Final answer
    x = 8,172.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.