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Finding the Fourth Proportional to 13,039, 17,993.82 and 7,151

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Solution

The fourth proportional to 13,039, 17,993.82 and 7,151 is: 9,868.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,039 : 17,993.82 = 7,151 : x
  2. Step 2: Convert to fraction form
    13,039/17,993.82 = 7,151/x
  3. Step 3: Cross multiply
    13,039x = 17,993.82 × 7,151
  4. Step 4: Simplify right side
    13,039x = 128,673,806.82
  5. Step 5: Solve for x
    x = 128,673,806.82/13,039
  6. Step 6: Final answer
    x = 9,868.38

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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.