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Finding the Fourth Proportional to 35,871.38, 49,505.73 and 21,723.38

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Solution

The fourth proportional to 35,871.38, 49,505.73 and 21,723.38 is: 29,980.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,871.38 : 49,505.73 = 21,723.38 : x
  2. Step 2: Convert to fraction form
    35,871.38/49,505.73 = 21,723.38/x
  3. Step 3: Cross multiply
    35,871.38x = 49,505.73 × 21,723.38
  4. Step 4: Simplify right side
    35,871.38x = 1,075,431,784.97
  5. Step 5: Solve for x
    x = 1,075,431,784.97/35,871.38
  6. Step 6: Final answer
    x = 29,980.22

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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.