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Finding the Fourth Proportional to 7,035.36, 9,709.05 and 3,892.14

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Solution

The fourth proportional to 7,035.36, 9,709.05 and 3,892.14 is: 5,371.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,035.36 : 9,709.05 = 3,892.14 : x
  2. Step 2: Convert to fraction form
    7,035.36/9,709.05 = 3,892.14/x
  3. Step 3: Cross multiply
    7,035.36x = 9,709.05 × 3,892.14
  4. Step 4: Simplify right side
    7,035.36x = 37,788,981.87
  5. Step 5: Solve for x
    x = 37,788,981.87/7,035.36
  6. Step 6: Final answer
    x = 5,371.29

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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.