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Finding the Fourth Proportional to 6,289.72, 8,683.87 and 3,902.24

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Solution

The fourth proportional to 6,289.72, 8,683.87 and 3,902.24 is: 5,387.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.72 : 8,683.87 = 3,902.24 : x
  2. Step 2: Convert to fraction form
    6,289.72/8,683.87 = 3,902.24/x
  3. Step 3: Cross multiply
    6,289.72x = 8,683.87 × 3,902.24
  4. Step 4: Simplify right side
    6,289.72x = 33,886,544.87
  5. Step 5: Solve for x
    x = 33,886,544.87/6,289.72
  6. Step 6: Final answer
    x = 5,387.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.