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Finding the Fourth Proportional to 3,783.02, 5,223.87 and 2,544.62

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Solution

The fourth proportional to 3,783.02, 5,223.87 and 2,544.62 is: 3,513.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.02 : 5,223.87 = 2,544.62 : x
  2. Step 2: Convert to fraction form
    3,783.02/5,223.87 = 2,544.62/x
  3. Step 3: Cross multiply
    3,783.02x = 5,223.87 × 2,544.62
  4. Step 4: Simplify right side
    3,783.02x = 13,292,764.08
  5. Step 5: Solve for x
    x = 13,292,764.08/3,783.02
  6. Step 6: Final answer
    x = 3,513.80

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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.