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Finding the Fourth Proportional to 3,827.45, 5,740.43 and 1,053.43

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Solution

The fourth proportional to 3,827.45, 5,740.43 and 1,053.43 is: 1,579.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.45 : 5,740.43 = 1,053.43 : x
  2. Step 2: Convert to fraction form
    3,827.45/5,740.43 = 1,053.43/x
  3. Step 3: Cross multiply
    3,827.45x = 5,740.43 × 1,053.43
  4. Step 4: Simplify right side
    3,827.45x = 6,047,121.56
  5. Step 5: Solve for x
    x = 6,047,121.56/3,827.45
  6. Step 6: Final answer
    x = 1,579.93

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