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Finding the Fourth Proportional to 37,775, 52,129.50 and 21,008

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Solution

The fourth proportional to 37,775, 52,129.50 and 21,008 is: 28,991.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,775 : 52,129.50 = 21,008 : x
  2. Step 2: Convert to fraction form
    37,775/52,129.50 = 21,008/x
  3. Step 3: Cross multiply
    37,775x = 52,129.50 × 21,008
  4. Step 4: Simplify right side
    37,775x = 1,095,136,536
  5. Step 5: Solve for x
    x = 1,095,136,536/37,775
  6. Step 6: Final answer
    x = 28,991.04

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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.