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Finding the Fourth Proportional to 38,288, 52,837.44 and 21,521

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Solution

The fourth proportional to 38,288, 52,837.44 and 21,521 is: 29,698.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,288 : 52,837.44 = 21,521 : x
  2. Step 2: Convert to fraction form
    38,288/52,837.44 = 21,521/x
  3. Step 3: Cross multiply
    38,288x = 52,837.44 × 21,521
  4. Step 4: Simplify right side
    38,288x = 1,137,114,546.24
  5. Step 5: Solve for x
    x = 1,137,114,546.24/38,288
  6. Step 6: Final answer
    x = 29,698.98

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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.