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Finding the Fourth Proportional to 37,796.80, 52,160.08 and 20,803

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Solution

The fourth proportional to 37,796.80, 52,160.08 and 20,803 is: 28,708.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,796.80 : 52,160.08 = 20,803 : x
  2. Step 2: Convert to fraction form
    37,796.80/52,160.08 = 20,803/x
  3. Step 3: Cross multiply
    37,796.80x = 52,160.08 × 20,803
  4. Step 4: Simplify right side
    37,796.80x = 1,085,086,144.24
  5. Step 5: Solve for x
    x = 1,085,086,144.24/37,796.80
  6. Step 6: Final answer
    x = 28,708.41

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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.