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Finding the Fourth Proportional to 36,963.78, 51,010 and 20,196.78

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Solution

The fourth proportional to 36,963.78, 51,010 and 20,196.78 is: 27,871.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,963.78 : 51,010 = 20,196.78 : x
  2. Step 2: Convert to fraction form
    36,963.78/51,010 = 20,196.78/x
  3. Step 3: Cross multiply
    36,963.78x = 51,010 × 20,196.78
  4. Step 4: Simplify right side
    36,963.78x = 1,030,237,747.80
  5. Step 5: Solve for x
    x = 1,030,237,747.80/36,963.78
  6. Step 6: Final answer
    x = 27,871.55

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1.5x scale

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.