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Finding the Fourth Proportional to 37,855, 52,241.70 and 21,088

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Solution

The fourth proportional to 37,855, 52,241.70 and 21,088 is: 29,102.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,855 : 52,241.70 = 21,088 : x
  2. Step 2: Convert to fraction form
    37,855/52,241.70 = 21,088/x
  3. Step 3: Cross multiply
    37,855x = 52,241.70 × 21,088
  4. Step 4: Simplify right side
    37,855x = 1,101,672,969.60
  5. Step 5: Solve for x
    x = 1,101,672,969.60/37,855
  6. Step 6: Final answer
    x = 29,102.44

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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.