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Finding the Fourth Proportional to 7,201.10, 10,802.87 and 2,816.16

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Solution

The fourth proportional to 7,201.10, 10,802.87 and 2,816.16 is: 4,224.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,201.10 : 10,802.87 = 2,816.16 : x
  2. Step 2: Convert to fraction form
    7,201.10/10,802.87 = 2,816.16/x
  3. Step 3: Cross multiply
    7,201.10x = 10,802.87 × 2,816.16
  4. Step 4: Simplify right side
    7,201.10x = 30,422,596.30
  5. Step 5: Solve for x
    x = 30,422,596.30/7,201.10
  6. Step 6: Final answer
    x = 4,224.72

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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.