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Finding the Fourth Proportional to 13,855.50, 20,783.43 and 4,621.50

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Solution

The fourth proportional to 13,855.50, 20,783.43 and 4,621.50 is: 6,932.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,855.50 : 20,783.43 = 4,621.50 : x
  2. Step 2: Convert to fraction form
    13,855.50/20,783.43 = 4,621.50/x
  3. Step 3: Cross multiply
    13,855.50x = 20,783.43 × 4,621.50
  4. Step 4: Simplify right side
    13,855.50x = 96,050,621.75
  5. Step 5: Solve for x
    x = 96,050,621.75/13,855.50
  6. Step 6: Final answer
    x = 6,932.31

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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.