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Finding the Fourth Proportional to 21,019, 31,538.50 and 13,119.36

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Solution

The fourth proportional to 21,019, 31,538.50 and 13,119.36 is: 19,685.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,019 : 31,538.50 = 13,119.36 : x
  2. Step 2: Convert to fraction form
    21,019/31,538.50 = 13,119.36/x
  3. Step 3: Cross multiply
    21,019x = 31,538.50 × 13,119.36
  4. Step 4: Simplify right side
    21,019x = 413,764,935.36
  5. Step 5: Solve for x
    x = 413,764,935.36/21,019
  6. Step 6: Final answer
    x = 19,685.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.