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Finding the Fourth Proportional to 12,993, 17,930.34 and 7,105

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Solution

The fourth proportional to 12,993, 17,930.34 and 7,105 is: 9,804.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,993 : 17,930.34 = 7,105 : x
  2. Step 2: Convert to fraction form
    12,993/17,930.34 = 7,105/x
  3. Step 3: Cross multiply
    12,993x = 17,930.34 × 7,105
  4. Step 4: Simplify right side
    12,993x = 127,395,065.70
  5. Step 5: Solve for x
    x = 127,395,065.70/12,993
  6. Step 6: Final answer
    x = 9,804.90

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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.