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Finding the Fourth Proportional to 38,887, 53,664.06 and 21,223

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Solution

The fourth proportional to 38,887, 53,664.06 and 21,223 is: 29,287.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,887 : 53,664.06 = 21,223 : x
  2. Step 2: Convert to fraction form
    38,887/53,664.06 = 21,223/x
  3. Step 3: Cross multiply
    38,887x = 53,664.06 × 21,223
  4. Step 4: Simplify right side
    38,887x = 1,138,912,345.38
  5. Step 5: Solve for x
    x = 1,138,912,345.38/38,887
  6. Step 6: Final answer
    x = 29,287.74

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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.