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Finding the Fourth Proportional to 36,021, 49,714.74 and 21,117

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Solution

The fourth proportional to 36,021, 49,714.74 and 21,117 is: 29,144.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,021 : 49,714.74 = 21,117 : x
  2. Step 2: Convert to fraction form
    36,021/49,714.74 = 21,117/x
  3. Step 3: Cross multiply
    36,021x = 49,714.74 × 21,117
  4. Step 4: Simplify right side
    36,021x = 1,049,826,164.58
  5. Step 5: Solve for x
    x = 1,049,826,164.58/36,021
  6. Step 6: Final answer
    x = 29,144.84

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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.