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Finding the Fourth Proportional to 13,611.72, 18,783.54 and 8,021.64

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Solution

The fourth proportional to 13,611.72, 18,783.54 and 8,021.64 is: 11,069.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,611.72 : 18,783.54 = 8,021.64 : x
  2. Step 2: Convert to fraction form
    13,611.72/18,783.54 = 8,021.64/x
  3. Step 3: Cross multiply
    13,611.72x = 18,783.54 × 8,021.64
  4. Step 4: Simplify right side
    13,611.72x = 150,674,795.81
  5. Step 5: Solve for x
    x = 150,674,795.81/13,611.72
  6. Step 6: Final answer
    x = 11,069.49

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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.