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Finding the Fourth Proportional to 36,670.50, 55,013.74 and 20,883

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Solution

The fourth proportional to 36,670.50, 55,013.74 and 20,883 is: 31,329.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,670.50 : 55,013.74 = 20,883 : x
  2. Step 2: Convert to fraction form
    36,670.50/55,013.74 = 20,883/x
  3. Step 3: Cross multiply
    36,670.50x = 55,013.74 × 20,883
  4. Step 4: Simplify right side
    36,670.50x = 1,148,851,932.42
  5. Step 5: Solve for x
    x = 1,148,851,932.42/36,670.50
  6. Step 6: Final answer
    x = 31,329.05

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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.