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Finding the Fourth Proportional to 38,054, 52,514.52 and 21,287

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Solution

The fourth proportional to 38,054, 52,514.52 and 21,287 is: 29,376.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,054 : 52,514.52 = 21,287 : x
  2. Step 2: Convert to fraction form
    38,054/52,514.52 = 21,287/x
  3. Step 3: Cross multiply
    38,054x = 52,514.52 × 21,287
  4. Step 4: Simplify right side
    38,054x = 1,117,876,587.24
  5. Step 5: Solve for x
    x = 1,117,876,587.24/38,054
  6. Step 6: Final answer
    x = 29,376.06

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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.