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Finding the Fourth Proportional to 35,644, 49,186.80 and 19,727.68

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Solution

The fourth proportional to 35,644, 49,186.80 and 19,727.68 is: 27,223.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,644 : 49,186.80 = 19,727.68 : x
  2. Step 2: Convert to fraction form
    35,644/49,186.80 = 19,727.68/x
  3. Step 3: Cross multiply
    35,644x = 49,186.80 × 19,727.68
  4. Step 4: Simplify right side
    35,644x = 970,341,450.62
  5. Step 5: Solve for x
    x = 970,341,450.62/35,644
  6. Step 6: Final answer
    x = 27,223.14

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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.