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Finding the Fourth Proportional to 38,040, 52,495.38 and 21,273

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Solution

The fourth proportional to 38,040, 52,495.38 and 21,273 is: 29,356.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,040 : 52,495.38 = 21,273 : x
  2. Step 2: Convert to fraction form
    38,040/52,495.38 = 21,273/x
  3. Step 3: Cross multiply
    38,040x = 52,495.38 × 21,273
  4. Step 4: Simplify right side
    38,040x = 1,116,734,218.74
  5. Step 5: Solve for x
    x = 1,116,734,218.74/38,040
  6. Step 6: Final answer
    x = 29,356.84

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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.