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Finding the Fourth Proportional to 38,009, 52,454.04 and 21,242

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Solution

The fourth proportional to 38,009, 52,454.04 and 21,242 is: 29,314.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,009 : 52,454.04 = 21,242 : x
  2. Step 2: Convert to fraction form
    38,009/52,454.04 = 21,242/x
  3. Step 3: Cross multiply
    38,009x = 52,454.04 × 21,242
  4. Step 4: Simplify right side
    38,009x = 1,114,228,717.68
  5. Step 5: Solve for x
    x = 1,114,228,717.68/38,009
  6. Step 6: Final answer
    x = 29,314.87

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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.