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Finding the Fourth Proportional to 3,782.94, 5,672.58 and 1,317.90

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Solution

The fourth proportional to 3,782.94, 5,672.58 and 1,317.90 is: 1,976.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.94 : 5,672.58 = 1,317.90 : x
  2. Step 2: Convert to fraction form
    3,782.94/5,672.58 = 1,317.90/x
  3. Step 3: Cross multiply
    3,782.94x = 5,672.58 × 1,317.90
  4. Step 4: Simplify right side
    3,782.94x = 7,475,893.18
  5. Step 5: Solve for x
    x = 7,475,893.18/3,782.94
  6. Step 6: Final answer
    x = 1,976.21

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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.