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Finding the Fourth Proportional to 38,019, 52,467.84 and 21,252

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Solution

The fourth proportional to 38,019, 52,467.84 and 21,252 is: 29,328.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,019 : 52,467.84 = 21,252 : x
  2. Step 2: Convert to fraction form
    38,019/52,467.84 = 21,252/x
  3. Step 3: Cross multiply
    38,019x = 52,467.84 × 21,252
  4. Step 4: Simplify right side
    38,019x = 1,115,046,535.68
  5. Step 5: Solve for x
    x = 1,115,046,535.68/38,019
  6. Step 6: Final answer
    x = 29,328.67

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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.