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Finding the Fourth Proportional to 37,662.78, 51,970.92 and 21,747.90

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Solution

The fourth proportional to 37,662.78, 51,970.92 and 21,747.90 is: 30,009.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,662.78 : 51,970.92 = 21,747.90 : x
  2. Step 2: Convert to fraction form
    37,662.78/51,970.92 = 21,747.90/x
  3. Step 3: Cross multiply
    37,662.78x = 51,970.92 × 21,747.90
  4. Step 4: Simplify right side
    37,662.78x = 1,130,258,371.07
  5. Step 5: Solve for x
    x = 1,130,258,371.07/37,662.78
  6. Step 6: Final answer
    x = 30,009.96

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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.