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Finding the Fourth Proportional to 13,751.98, 20,634.60 and 7,511.82

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Solution

The fourth proportional to 13,751.98, 20,634.60 and 7,511.82 is: 11,271.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.98 : 20,634.60 = 7,511.82 : x
  2. Step 2: Convert to fraction form
    13,751.98/20,634.60 = 7,511.82/x
  3. Step 3: Cross multiply
    13,751.98x = 20,634.60 × 7,511.82
  4. Step 4: Simplify right side
    13,751.98x = 155,003,400.97
  5. Step 5: Solve for x
    x = 155,003,400.97/13,751.98
  6. Step 6: Final answer
    x = 11,271.35

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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.