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Finding the Fourth Proportional to 36,586, 54,808.88 and 21,750

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Solution

The fourth proportional to 36,586, 54,808.88 and 21,750 is: 32,583.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,586 : 54,808.88 = 21,750 : x
  2. Step 2: Convert to fraction form
    36,586/54,808.88 = 21,750/x
  3. Step 3: Cross multiply
    36,586x = 54,808.88 × 21,750
  4. Step 4: Simplify right side
    36,586x = 1,192,093,140
  5. Step 5: Solve for x
    x = 1,192,093,140/36,586
  6. Step 6: Final answer
    x = 32,583.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.