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Finding the Fourth Proportional to 13,751.22, 18,977.14 and 7,782.82

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Solution

The fourth proportional to 13,751.22, 18,977.14 and 7,782.82 is: 10,740.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,751.22 : 18,977.14 = 7,782.82 : x
  2. Step 2: Convert to fraction form
    13,751.22/18,977.14 = 7,782.82/x
  3. Step 3: Cross multiply
    13,751.22x = 18,977.14 × 7,782.82
  4. Step 4: Simplify right side
    13,751.22x = 147,695,664.73
  5. Step 5: Solve for x
    x = 147,695,664.73/13,751.22
  6. Step 6: Final answer
    x = 10,740.55

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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.