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Finding the Fourth Proportional to 9,192.53, 12,685.91 and 5,213.91

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Solution

The fourth proportional to 9,192.53, 12,685.91 and 5,213.91 is: 7,195.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.53 : 12,685.91 = 5,213.91 : x
  2. Step 2: Convert to fraction form
    9,192.53/12,685.91 = 5,213.91/x
  3. Step 3: Cross multiply
    9,192.53x = 12,685.91 × 5,213.91
  4. Step 4: Simplify right side
    9,192.53x = 66,143,193.01
  5. Step 5: Solve for x
    x = 66,143,193.01/9,192.53
  6. Step 6: Final answer
    x = 7,195.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.