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Finding the Fourth Proportional to 3,570.78, 5,352.53 and 1,812.54

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Solution

The fourth proportional to 3,570.78, 5,352.53 and 1,812.54 is: 2,716.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,570.78 : 5,352.53 = 1,812.54 : x
  2. Step 2: Convert to fraction form
    3,570.78/5,352.53 = 1,812.54/x
  3. Step 3: Cross multiply
    3,570.78x = 5,352.53 × 1,812.54
  4. Step 4: Simplify right side
    3,570.78x = 9,701,665.66
  5. Step 5: Solve for x
    x = 9,701,665.66/3,570.78
  6. Step 6: Final answer
    x = 2,716.96

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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.