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Finding the Fourth Proportional to 23,005, 31,751.22 and 13,069

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Solution

The fourth proportional to 23,005, 31,751.22 and 13,069 is: 18,037.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,005 : 31,751.22 = 13,069 : x
  2. Step 2: Convert to fraction form
    23,005/31,751.22 = 13,069/x
  3. Step 3: Cross multiply
    23,005x = 31,751.22 × 13,069
  4. Step 4: Simplify right side
    23,005x = 414,956,694.18
  5. Step 5: Solve for x
    x = 414,956,694.18/23,005
  6. Step 6: Final answer
    x = 18,037.67

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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.