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Finding the Fourth Proportional to 37,783.50, 52,142.45 and 20,786.87

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Solution

The fourth proportional to 37,783.50, 52,142.45 and 20,786.87 is: 28,686.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,783.50 : 52,142.45 = 20,786.87 : x
  2. Step 2: Convert to fraction form
    37,783.50/52,142.45 = 20,786.87/x
  3. Step 3: Cross multiply
    37,783.50x = 52,142.45 × 20,786.87
  4. Step 4: Simplify right side
    37,783.50x = 1,083,878,120.89
  5. Step 5: Solve for x
    x = 1,083,878,120.89/37,783.50
  6. Step 6: Final answer
    x = 28,686.55

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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.