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Finding the Fourth Proportional to 12,706.13, 17,534.46 and 7,738.13

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Solution

The fourth proportional to 12,706.13, 17,534.46 and 7,738.13 is: 10,678.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.13 : 17,534.46 = 7,738.13 : x
  2. Step 2: Convert to fraction form
    12,706.13/17,534.46 = 7,738.13/x
  3. Step 3: Cross multiply
    12,706.13x = 17,534.46 × 7,738.13
  4. Step 4: Simplify right side
    12,706.13x = 135,683,843.29
  5. Step 5: Solve for x
    x = 135,683,843.29/12,706.13
  6. Step 6: Final answer
    x = 10,678.62

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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.