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Finding the Fourth Proportional to 7,125.25, 10,685.13 and 2,967.22

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Solution

The fourth proportional to 7,125.25, 10,685.13 and 2,967.22 is: 4,449.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.25 : 10,685.13 = 2,967.22 : x
  2. Step 2: Convert to fraction form
    7,125.25/10,685.13 = 2,967.22/x
  3. Step 3: Cross multiply
    7,125.25x = 10,685.13 × 2,967.22
  4. Step 4: Simplify right side
    7,125.25x = 31,705,078.01
  5. Step 5: Solve for x
    x = 31,705,078.01/7,125.25
  6. Step 6: Final answer
    x = 4,449.68

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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.