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Finding the Fourth Proportional to 37,415.49, 51,631.76 and 20,419.31

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Solution

The fourth proportional to 37,415.49, 51,631.76 and 20,419.31 is: 28,177.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,415.49 : 51,631.76 = 20,419.31 : x
  2. Step 2: Convert to fraction form
    37,415.49/51,631.76 = 20,419.31/x
  3. Step 3: Cross multiply
    37,415.49x = 51,631.76 × 20,419.31
  4. Step 4: Simplify right side
    37,415.49x = 1,054,284,706.18
  5. Step 5: Solve for x
    x = 1,054,284,706.18/37,415.49
  6. Step 6: Final answer
    x = 28,177.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.