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Finding the Fourth Proportional to 38,186, 52,696.72 and 21,419

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Solution

The fourth proportional to 38,186, 52,696.72 and 21,419 is: 29,558.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,186 : 52,696.72 = 21,419 : x
  2. Step 2: Convert to fraction form
    38,186/52,696.72 = 21,419/x
  3. Step 3: Cross multiply
    38,186x = 52,696.72 × 21,419
  4. Step 4: Simplify right side
    38,186x = 1,128,711,045.68
  5. Step 5: Solve for x
    x = 1,128,711,045.68/38,186
  6. Step 6: Final answer
    x = 29,558.24

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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.