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Finding the Fourth Proportional to 37,230, 51,377.40 and 20,463

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Solution

The fourth proportional to 37,230, 51,377.40 and 20,463 is: 28,238.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,230 : 51,377.40 = 20,463 : x
  2. Step 2: Convert to fraction form
    37,230/51,377.40 = 20,463/x
  3. Step 3: Cross multiply
    37,230x = 51,377.40 × 20,463
  4. Step 4: Simplify right side
    37,230x = 1,051,335,736.20
  5. Step 5: Solve for x
    x = 1,051,335,736.20/37,230
  6. Step 6: Final answer
    x = 28,238.94

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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.