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Finding the Fourth Proportional to 3,892.51, 5,810.34 and 3,376.14

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Solution

The fourth proportional to 3,892.51, 5,810.34 and 3,376.14 is: 5,039.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.51 : 5,810.34 = 3,376.14 : x
  2. Step 2: Convert to fraction form
    3,892.51/5,810.34 = 3,376.14/x
  3. Step 3: Cross multiply
    3,892.51x = 5,810.34 × 3,376.14
  4. Step 4: Simplify right side
    3,892.51x = 19,616,521.29
  5. Step 5: Solve for x
    x = 19,616,521.29/3,892.51
  6. Step 6: Final answer
    x = 5,039.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.