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Finding the Fourth Proportional to 7,409.93, 11,102.56 and 5,214.05

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Solution

The fourth proportional to 7,409.93, 11,102.56 and 5,214.05 is: 7,812.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.93 : 11,102.56 = 5,214.05 : x
  2. Step 2: Convert to fraction form
    7,409.93/11,102.56 = 5,214.05/x
  3. Step 3: Cross multiply
    7,409.93x = 11,102.56 × 5,214.05
  4. Step 4: Simplify right side
    7,409.93x = 57,889,221.38
  5. Step 5: Solve for x
    x = 57,889,221.38/7,409.93
  6. Step 6: Final answer
    x = 7,812.38

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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.