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Finding the Fourth Proportional to 9,706.26, 13,381.07 and 8,208.16

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Solution

The fourth proportional to 9,706.26, 13,381.07 and 8,208.16 is: 11,315.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.26 : 13,381.07 = 8,208.16 : x
  2. Step 2: Convert to fraction form
    9,706.26/13,381.07 = 8,208.16/x
  3. Step 3: Cross multiply
    9,706.26x = 13,381.07 × 8,208.16
  4. Step 4: Simplify right side
    9,706.26x = 109,833,963.53
  5. Step 5: Solve for x
    x = 109,833,963.53/9,706.26
  6. Step 6: Final answer
    x = 11,315.79

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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.