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Finding the Fourth Proportional to 9,706.76, 13,381.76 and 8,208.66

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Solution

The fourth proportional to 9,706.76, 13,381.76 and 8,208.66 is: 11,316.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.76 : 13,381.76 = 8,208.66 : x
  2. Step 2: Convert to fraction form
    9,706.76/13,381.76 = 8,208.66/x
  3. Step 3: Cross multiply
    9,706.76x = 13,381.76 × 8,208.66
  4. Step 4: Simplify right side
    9,706.76x = 109,846,318.04
  5. Step 5: Solve for x
    x = 109,846,318.04/9,706.76
  6. Step 6: Final answer
    x = 11,316.48

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Half scale
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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.