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Finding the Fourth Proportional to 7,185.81, 10,772.33 and 2,802.26

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Solution

The fourth proportional to 7,185.81, 10,772.33 and 2,802.26 is: 4,200.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185.81 : 10,772.33 = 2,802.26 : x
  2. Step 2: Convert to fraction form
    7,185.81/10,772.33 = 2,802.26/x
  3. Step 3: Cross multiply
    7,185.81x = 10,772.33 × 2,802.26
  4. Step 4: Simplify right side
    7,185.81x = 30,186,882.39
  5. Step 5: Solve for x
    x = 30,186,882.39/7,185.81
  6. Step 6: Final answer
    x = 4,200.90

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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.