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Finding the Fourth Proportional to 11,706.97, 16,168.93 and 7,871.94

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Solution

The fourth proportional to 11,706.97, 16,168.93 and 7,871.94 is: 10,872.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.97 : 16,168.93 = 7,871.94 : x
  2. Step 2: Convert to fraction form
    11,706.97/16,168.93 = 7,871.94/x
  3. Step 3: Cross multiply
    11,706.97x = 16,168.93 × 7,871.94
  4. Step 4: Simplify right side
    11,706.97x = 127,280,726.62
  5. Step 5: Solve for x
    x = 127,280,726.62/11,706.97
  6. Step 6: Final answer
    x = 10,872.22

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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.