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Finding the Fourth Proportional to 6,490.24, 9,719.80 and 3,708.48

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Solution

The fourth proportional to 6,490.24, 9,719.80 and 3,708.48 is: 5,553.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.24 : 9,719.80 = 3,708.48 : x
  2. Step 2: Convert to fraction form
    6,490.24/9,719.80 = 3,708.48/x
  3. Step 3: Cross multiply
    6,490.24x = 9,719.80 × 3,708.48
  4. Step 4: Simplify right side
    6,490.24x = 36,045,683.90
  5. Step 5: Solve for x
    x = 36,045,683.90/6,490.24
  6. Step 6: Final answer
    x = 5,553.83

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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.