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Finding the Fourth Proportional to 9,704.76, 13,379 and 8,206.66

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Solution

The fourth proportional to 9,704.76, 13,379 and 8,206.66 is: 11,313.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.76 : 13,379 = 8,206.66 : x
  2. Step 2: Convert to fraction form
    9,704.76/13,379 = 8,206.66/x
  3. Step 3: Cross multiply
    9,704.76x = 13,379 × 8,206.66
  4. Step 4: Simplify right side
    9,704.76x = 109,796,904.14
  5. Step 5: Solve for x
    x = 109,796,904.14/9,704.76
  6. Step 6: Final answer
    x = 11,313.72

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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.