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Finding the Fourth Proportional to 29,072, 40,119.52 and 15,824

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Solution

The fourth proportional to 29,072, 40,119.52 and 15,824 is: 21,837.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,072 : 40,119.52 = 15,824 : x
  2. Step 2: Convert to fraction form
    29,072/40,119.52 = 15,824/x
  3. Step 3: Cross multiply
    29,072x = 40,119.52 × 15,824
  4. Step 4: Simplify right side
    29,072x = 634,851,284.48
  5. Step 5: Solve for x
    x = 634,851,284.48/29,072
  6. Step 6: Final answer
    x = 21,837.21

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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.