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Finding the Fourth Proportional to 33,438, 46,144.52 and 18,534

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Solution

The fourth proportional to 33,438, 46,144.52 and 18,534 is: 25,576.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,438 : 46,144.52 = 18,534 : x
  2. Step 2: Convert to fraction form
    33,438/46,144.52 = 18,534/x
  3. Step 3: Cross multiply
    33,438x = 46,144.52 × 18,534
  4. Step 4: Simplify right side
    33,438x = 855,242,533.68
  5. Step 5: Solve for x
    x = 855,242,533.68/33,438
  6. Step 6: Final answer
    x = 25,576.96

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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.