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Finding the Fourth Proportional to 13,704.14, 18,915.65 and 8,039.12

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Solution

The fourth proportional to 13,704.14, 18,915.65 and 8,039.12 is: 11,096.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,704.14 : 18,915.65 = 8,039.12 : x
  2. Step 2: Convert to fraction form
    13,704.14/18,915.65 = 8,039.12/x
  3. Step 3: Cross multiply
    13,704.14x = 18,915.65 × 8,039.12
  4. Step 4: Simplify right side
    13,704.14x = 152,065,257.81
  5. Step 5: Solve for x
    x = 152,065,257.81/13,704.14
  6. Step 6: Final answer
    x = 11,096.30

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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.