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Finding the Fourth Proportional to 39,054, 53,894.44 and 21,149

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Solution

The fourth proportional to 39,054, 53,894.44 and 21,149 is: 29,185.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,054 : 53,894.44 = 21,149 : x
  2. Step 2: Convert to fraction form
    39,054/53,894.44 = 21,149/x
  3. Step 3: Cross multiply
    39,054x = 53,894.44 × 21,149
  4. Step 4: Simplify right side
    39,054x = 1,139,813,511.56
  5. Step 5: Solve for x
    x = 1,139,813,511.56/39,054
  6. Step 6: Final answer
    x = 29,185.58

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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.