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Finding the Fourth Proportional to 6,419.29, 9,614.92 and 3,946.62

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Solution

The fourth proportional to 6,419.29, 9,614.92 and 3,946.62 is: 5,911.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,419.29 : 9,614.92 = 3,946.62 : x
  2. Step 2: Convert to fraction form
    6,419.29/9,614.92 = 3,946.62/x
  3. Step 3: Cross multiply
    6,419.29x = 9,614.92 × 3,946.62
  4. Step 4: Simplify right side
    6,419.29x = 37,946,435.57
  5. Step 5: Solve for x
    x = 37,946,435.57/6,419.29
  6. Step 6: Final answer
    x = 5,911.31

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1.5x scale

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.