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Finding the Fourth Proportional to 3,787.93, 5,683.26 and 1,323.11

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Solution

The fourth proportional to 3,787.93, 5,683.26 and 1,323.11 is: 1,985.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.93 : 5,683.26 = 1,323.11 : x
  2. Step 2: Convert to fraction form
    3,787.93/5,683.26 = 1,323.11/x
  3. Step 3: Cross multiply
    3,787.93x = 5,683.26 × 1,323.11
  4. Step 4: Simplify right side
    3,787.93x = 7,519,578.14
  5. Step 5: Solve for x
    x = 7,519,578.14/3,787.93
  6. Step 6: Final answer
    x = 1,985.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.