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Finding the Fourth Proportional to 38,249, 52,786.32 and 21,482

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Solution

The fourth proportional to 38,249, 52,786.32 and 21,482 is: 29,646.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,249 : 52,786.32 = 21,482 : x
  2. Step 2: Convert to fraction form
    38,249/52,786.32 = 21,482/x
  3. Step 3: Cross multiply
    38,249x = 52,786.32 × 21,482
  4. Step 4: Simplify right side
    38,249x = 1,133,955,726.24
  5. Step 5: Solve for x
    x = 1,133,955,726.24/38,249
  6. Step 6: Final answer
    x = 29,646.68

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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.