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Finding the Fourth Proportional to 18,519.91, 25,557.43 and 10,022

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Solution

The fourth proportional to 18,519.91, 25,557.43 and 10,022 is: 13,830.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,519.91 : 25,557.43 = 10,022 : x
  2. Step 2: Convert to fraction form
    18,519.91/25,557.43 = 10,022/x
  3. Step 3: Cross multiply
    18,519.91x = 25,557.43 × 10,022
  4. Step 4: Simplify right side
    18,519.91x = 256,136,563.46
  5. Step 5: Solve for x
    x = 256,136,563.46/18,519.91
  6. Step 6: Final answer
    x = 13,830.34

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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.