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Finding the Fourth Proportional to 13,021.26, 17,969.42 and 7,053

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Solution

The fourth proportional to 13,021.26, 17,969.42 and 7,053 is: 9,733.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.26 : 17,969.42 = 7,053 : x
  2. Step 2: Convert to fraction form
    13,021.26/17,969.42 = 7,053/x
  3. Step 3: Cross multiply
    13,021.26x = 17,969.42 × 7,053
  4. Step 4: Simplify right side
    13,021.26x = 126,738,336.89
  5. Step 5: Solve for x
    x = 126,738,336.89/13,021.26
  6. Step 6: Final answer
    x = 9,733.19

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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.