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Finding the Fourth Proportional to 38,173, 52,678.74 and 21,406

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Solution

The fourth proportional to 38,173, 52,678.74 and 21,406 is: 29,540.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,173 : 52,678.74 = 21,406 : x
  2. Step 2: Convert to fraction form
    38,173/52,678.74 = 21,406/x
  3. Step 3: Cross multiply
    38,173x = 52,678.74 × 21,406
  4. Step 4: Simplify right side
    38,173x = 1,127,641,108.44
  5. Step 5: Solve for x
    x = 1,127,641,108.44/38,173
  6. Step 6: Final answer
    x = 29,540.28

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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.