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Finding the Fourth Proportional to 12,105.70, 16,706.46 and 6,802.18

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Solution

The fourth proportional to 12,105.70, 16,706.46 and 6,802.18 is: 9,387.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105.70 : 16,706.46 = 6,802.18 : x
  2. Step 2: Convert to fraction form
    12,105.70/16,706.46 = 6,802.18/x
  3. Step 3: Cross multiply
    12,105.70x = 16,706.46 × 6,802.18
  4. Step 4: Simplify right side
    12,105.70x = 113,640,348.08
  5. Step 5: Solve for x
    x = 113,640,348.08/12,105.70
  6. Step 6: Final answer
    x = 9,387.34

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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.