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Finding the Fourth Proportional to 38,967, 53,774.46 and 21,303

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Solution

The fourth proportional to 38,967, 53,774.46 and 21,303 is: 29,398.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,967 : 53,774.46 = 21,303 : x
  2. Step 2: Convert to fraction form
    38,967/53,774.46 = 21,303/x
  3. Step 3: Cross multiply
    38,967x = 53,774.46 × 21,303
  4. Step 4: Simplify right side
    38,967x = 1,145,557,321.38
  5. Step 5: Solve for x
    x = 1,145,557,321.38/38,967
  6. Step 6: Final answer
    x = 29,398.14

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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.