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Finding the Fourth Proportional to 37,788, 52,147.44 and 21,021

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Solution

The fourth proportional to 37,788, 52,147.44 and 21,021 is: 29,008.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,788 : 52,147.44 = 21,021 : x
  2. Step 2: Convert to fraction form
    37,788/52,147.44 = 21,021/x
  3. Step 3: Cross multiply
    37,788x = 52,147.44 × 21,021
  4. Step 4: Simplify right side
    37,788x = 1,096,191,336.24
  5. Step 5: Solve for x
    x = 1,096,191,336.24/37,788
  6. Step 6: Final answer
    x = 29,008.98

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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.