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Finding the Fourth Proportional to 3,683.78, 5,527.32 and 1,952

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Solution

The fourth proportional to 3,683.78, 5,527.32 and 1,952 is: 2,928.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.78 : 5,527.32 = 1,952 : x
  2. Step 2: Convert to fraction form
    3,683.78/5,527.32 = 1,952/x
  3. Step 3: Cross multiply
    3,683.78x = 5,527.32 × 1,952
  4. Step 4: Simplify right side
    3,683.78x = 10,789,328.64
  5. Step 5: Solve for x
    x = 10,789,328.64/3,683.78
  6. Step 6: Final answer
    x = 2,928.87

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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.