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Finding the Fourth Proportional to 6,930.80, 9,565.67 and 3,946.22

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Solution

The fourth proportional to 6,930.80, 9,565.67 and 3,946.22 is: 5,446.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.80 : 9,565.67 = 3,946.22 : x
  2. Step 2: Convert to fraction form
    6,930.80/9,565.67 = 3,946.22/x
  3. Step 3: Cross multiply
    6,930.80x = 9,565.67 × 3,946.22
  4. Step 4: Simplify right side
    6,930.80x = 37,748,218.54
  5. Step 5: Solve for x
    x = 37,748,218.54/6,930.80
  6. Step 6: Final answer
    x = 5,446.44

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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.