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Finding the Fourth Proportional to 13,602, 18,771.11 and 7,634.13

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Solution

The fourth proportional to 13,602, 18,771.11 and 7,634.13 is: 10,535.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602 : 18,771.11 = 7,634.13 : x
  2. Step 2: Convert to fraction form
    13,602/18,771.11 = 7,634.13/x
  3. Step 3: Cross multiply
    13,602x = 18,771.11 × 7,634.13
  4. Step 4: Simplify right side
    13,602x = 143,301,093.98
  5. Step 5: Solve for x
    x = 143,301,093.98/13,602
  6. Step 6: Final answer
    x = 10,535.30

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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.