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Finding the Fourth Proportional to 6,561.41, 9,830.97 and 3,958.88

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Solution

The fourth proportional to 6,561.41, 9,830.97 and 3,958.88 is: 5,931.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.41 : 9,830.97 = 3,958.88 : x
  2. Step 2: Convert to fraction form
    6,561.41/9,830.97 = 3,958.88/x
  3. Step 3: Cross multiply
    6,561.41x = 9,830.97 × 3,958.88
  4. Step 4: Simplify right side
    6,561.41x = 38,919,581.36
  5. Step 5: Solve for x
    x = 38,919,581.36/6,561.41
  6. Step 6: Final answer
    x = 5,931.59

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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.