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Finding the Fourth Proportional to 13,611.50, 20,419.88 and 4,727.15

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Solution

The fourth proportional to 13,611.50, 20,419.88 and 4,727.15 is: 7,091.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,611.50 : 20,419.88 = 4,727.15 : x
  2. Step 2: Convert to fraction form
    13,611.50/20,419.88 = 4,727.15/x
  3. Step 3: Cross multiply
    13,611.50x = 20,419.88 × 4,727.15
  4. Step 4: Simplify right side
    13,611.50x = 96,527,835.74
  5. Step 5: Solve for x
    x = 96,527,835.74/13,611.50
  6. Step 6: Final answer
    x = 7,091.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.