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Finding the Fourth Proportional to 6,930.87, 9,563.72 and 3,946.29

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Solution

The fourth proportional to 6,930.87, 9,563.72 and 3,946.29 is: 5,445.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.87 : 9,563.72 = 3,946.29 : x
  2. Step 2: Convert to fraction form
    6,930.87/9,563.72 = 3,946.29/x
  3. Step 3: Cross multiply
    6,930.87x = 9,563.72 × 3,946.29
  4. Step 4: Simplify right side
    6,930.87x = 37,741,192.87
  5. Step 5: Solve for x
    x = 37,741,192.87/6,930.87
  6. Step 6: Final answer
    x = 5,445.38

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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.