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Finding the Fourth Proportional to 37,937.50, 52,353.78 and 21,170.50

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Solution

The fourth proportional to 37,937.50, 52,353.78 and 21,170.50 is: 29,215.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,937.50 : 52,353.78 = 21,170.50 : x
  2. Step 2: Convert to fraction form
    37,937.50/52,353.78 = 21,170.50/x
  3. Step 3: Cross multiply
    37,937.50x = 52,353.78 × 21,170.50
  4. Step 4: Simplify right side
    37,937.50x = 1,108,355,699.49
  5. Step 5: Solve for x
    x = 1,108,355,699.49/37,937.50
  6. Step 6: Final answer
    x = 29,215.31

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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.