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Finding the Fourth Proportional to 6,490.38, 9,735.98 and 4,409.49

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Solution

The fourth proportional to 6,490.38, 9,735.98 and 4,409.49 is: 6,614.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.38 : 9,735.98 = 4,409.49 : x
  2. Step 2: Convert to fraction form
    6,490.38/9,735.98 = 4,409.49/x
  3. Step 3: Cross multiply
    6,490.38x = 9,735.98 × 4,409.49
  4. Step 4: Simplify right side
    6,490.38x = 42,930,684.40
  5. Step 5: Solve for x
    x = 42,930,684.40/6,490.38
  6. Step 6: Final answer
    x = 6,614.51

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