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Finding the Fourth Proportional to 38,002, 52,442.76 and 21,235

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Solution

The fourth proportional to 38,002, 52,442.76 and 21,235 is: 29,304.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,002 : 52,442.76 = 21,235 : x
  2. Step 2: Convert to fraction form
    38,002/52,442.76 = 21,235/x
  3. Step 3: Cross multiply
    38,002x = 52,442.76 × 21,235
  4. Step 4: Simplify right side
    38,002x = 1,113,622,008.60
  5. Step 5: Solve for x
    x = 1,113,622,008.60/38,002
  6. Step 6: Final answer
    x = 29,304.30

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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.