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Finding the Fourth Proportional to 9,640.17, 14,450.40 and 5,471.39

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Solution

The fourth proportional to 9,640.17, 14,450.40 and 5,471.39 is: 8,201.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.17 : 14,450.40 = 5,471.39 : x
  2. Step 2: Convert to fraction form
    9,640.17/14,450.40 = 5,471.39/x
  3. Step 3: Cross multiply
    9,640.17x = 14,450.40 × 5,471.39
  4. Step 4: Simplify right side
    9,640.17x = 79,063,701.80
  5. Step 5: Solve for x
    x = 79,063,701.80/9,640.17
  6. Step 6: Final answer
    x = 8,201.48

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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.