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Finding the Fourth Proportional to 7,893.81, 11,853 and 7,543.22

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Solution

The fourth proportional to 7,893.81, 11,853 and 7,543.22 is: 11,326.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893.81 : 11,853 = 7,543.22 : x
  2. Step 2: Convert to fraction form
    7,893.81/11,853 = 7,543.22/x
  3. Step 3: Cross multiply
    7,893.81x = 11,853 × 7,543.22
  4. Step 4: Simplify right side
    7,893.81x = 89,409,727.40
  5. Step 5: Solve for x
    x = 89,409,727.40/7,893.81
  6. Step 6: Final answer
    x = 11,326.56

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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.