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Finding the Fourth Proportional to 37,274, 51,435.76 and 20,278.08

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Solution

The fourth proportional to 37,274, 51,435.76 and 20,278.08 is: 27,982.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,274 : 51,435.76 = 20,278.08 : x
  2. Step 2: Convert to fraction form
    37,274/51,435.76 = 20,278.08/x
  3. Step 3: Cross multiply
    37,274x = 51,435.76 × 20,278.08
  4. Step 4: Simplify right side
    37,274x = 1,043,018,456.14
  5. Step 5: Solve for x
    x = 1,043,018,456.14/37,274
  6. Step 6: Final answer
    x = 27,982.47

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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.