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Finding the Fourth Proportional to 29,089, 40,142.82 and 15,841

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Solution

The fourth proportional to 29,089, 40,142.82 and 15,841 is: 21,860.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,089 : 40,142.82 = 15,841 : x
  2. Step 2: Convert to fraction form
    29,089/40,142.82 = 15,841/x
  3. Step 3: Cross multiply
    29,089x = 40,142.82 × 15,841
  4. Step 4: Simplify right side
    29,089x = 635,902,411.62
  5. Step 5: Solve for x
    x = 635,902,411.62/29,089
  6. Step 6: Final answer
    x = 21,860.58

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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.