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Finding the Fourth Proportional to 10,802.43, 16,189.94 and 4,872.96

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Solution

The fourth proportional to 10,802.43, 16,189.94 and 4,872.96 is: 7,303.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,802.43 : 16,189.94 = 4,872.96 : x
  2. Step 2: Convert to fraction form
    10,802.43/16,189.94 = 4,872.96/x
  3. Step 3: Cross multiply
    10,802.43x = 16,189.94 × 4,872.96
  4. Step 4: Simplify right side
    10,802.43x = 78,892,942.20
  5. Step 5: Solve for x
    x = 78,892,942.20/10,802.43
  6. Step 6: Final answer
    x = 7,303.26

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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.