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Finding the Fourth Proportional to 13,630.50, 18,810.09 and 8,041.50

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Solution

The fourth proportional to 13,630.50, 18,810.09 and 8,041.50 is: 11,097.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,630.50 : 18,810.09 = 8,041.50 : x
  2. Step 2: Convert to fraction form
    13,630.50/18,810.09 = 8,041.50/x
  3. Step 3: Cross multiply
    13,630.50x = 18,810.09 × 8,041.50
  4. Step 4: Simplify right side
    13,630.50x = 151,261,338.74
  5. Step 5: Solve for x
    x = 151,261,338.74/13,630.50
  6. Step 6: Final answer
    x = 11,097.27

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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.