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Finding the Fourth Proportional to 9,843.81, 14,761.38 and 3,602.20

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Solution

The fourth proportional to 9,843.81, 14,761.38 and 3,602.20 is: 5,401.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.81 : 14,761.38 = 3,602.20 : x
  2. Step 2: Convert to fraction form
    9,843.81/14,761.38 = 3,602.20/x
  3. Step 3: Cross multiply
    9,843.81x = 14,761.38 × 3,602.20
  4. Step 4: Simplify right side
    9,843.81x = 53,173,452.04
  5. Step 5: Solve for x
    x = 53,173,452.04/9,843.81
  6. Step 6: Final answer
    x = 5,401.71

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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.