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Finding the Fourth Proportional to 23,011, 31,755.18 and 13,075

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Solution

The fourth proportional to 23,011, 31,755.18 and 13,075 is: 18,043.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,011 : 31,755.18 = 13,075 : x
  2. Step 2: Convert to fraction form
    23,011/31,755.18 = 13,075/x
  3. Step 3: Cross multiply
    23,011x = 31,755.18 × 13,075
  4. Step 4: Simplify right side
    23,011x = 415,198,978.50
  5. Step 5: Solve for x
    x = 415,198,978.50/23,011
  6. Step 6: Final answer
    x = 18,043.50

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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.