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Finding the Fourth Proportional to 13,611.40, 20,400.90 and 5,713.90

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Solution

The fourth proportional to 13,611.40, 20,400.90 and 5,713.90 is: 8,564.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,611.40 : 20,400.90 = 5,713.90 : x
  2. Step 2: Convert to fraction form
    13,611.40/20,400.90 = 5,713.90/x
  3. Step 3: Cross multiply
    13,611.40x = 20,400.90 × 5,713.90
  4. Step 4: Simplify right side
    13,611.40x = 116,568,702.51
  5. Step 5: Solve for x
    x = 116,568,702.51/13,611.40
  6. Step 6: Final answer
    x = 8,564.05

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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.