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Finding the Fourth Proportional to 13,706.66, 18,914.13 and 7,738.92

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Solution

The fourth proportional to 13,706.66, 18,914.13 and 7,738.92 is: 10,679.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.66 : 18,914.13 = 7,738.92 : x
  2. Step 2: Convert to fraction form
    13,706.66/18,914.13 = 7,738.92/x
  3. Step 3: Cross multiply
    13,706.66x = 18,914.13 × 7,738.92
  4. Step 4: Simplify right side
    13,706.66x = 146,374,967.96
  5. Step 5: Solve for x
    x = 146,374,967.96/13,706.66
  6. Step 6: Final answer
    x = 10,679.11

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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.