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Finding the Fourth Proportional to 9,192.34, 12,684.70 and 5,214.09

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Solution

The fourth proportional to 9,192.34, 12,684.70 and 5,214.09 is: 7,195.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,192.34 : 12,684.70 = 5,214.09 : x
  2. Step 2: Convert to fraction form
    9,192.34/12,684.70 = 5,214.09/x
  3. Step 3: Cross multiply
    9,192.34x = 12,684.70 × 5,214.09
  4. Step 4: Simplify right side
    9,192.34x = 66,139,167.42
  5. Step 5: Solve for x
    x = 66,139,167.42/9,192.34
  6. Step 6: Final answer
    x = 7,195.03

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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.