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Finding the Fourth Proportional to 37,999, 52,438.64 and 21,232

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Solution

The fourth proportional to 37,999, 52,438.64 and 21,232 is: 29,300.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,999 : 52,438.64 = 21,232 : x
  2. Step 2: Convert to fraction form
    37,999/52,438.64 = 21,232/x
  3. Step 3: Cross multiply
    37,999x = 52,438.64 × 21,232
  4. Step 4: Simplify right side
    37,999x = 1,113,377,204.48
  5. Step 5: Solve for x
    x = 1,113,377,204.48/37,999
  6. Step 6: Final answer
    x = 29,300.17

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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.