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Finding the Fourth Proportional to 13,820.29, 19,072.52 and 7,852.97

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Solution

The fourth proportional to 13,820.29, 19,072.52 and 7,852.97 is: 10,837.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.29 : 19,072.52 = 7,852.97 : x
  2. Step 2: Convert to fraction form
    13,820.29/19,072.52 = 7,852.97/x
  3. Step 3: Cross multiply
    13,820.29x = 19,072.52 × 7,852.97
  4. Step 4: Simplify right side
    13,820.29x = 149,775,927.38
  5. Step 5: Solve for x
    x = 149,775,927.38/13,820.29
  6. Step 6: Final answer
    x = 10,837.39

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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.