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Finding the Fourth Proportional to 37,180, 51,309.21 and 20,413

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Solution

The fourth proportional to 37,180, 51,309.21 and 20,413 is: 28,170.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,180 : 51,309.21 = 20,413 : x
  2. Step 2: Convert to fraction form
    37,180/51,309.21 = 20,413/x
  3. Step 3: Cross multiply
    37,180x = 51,309.21 × 20,413
  4. Step 4: Simplify right side
    37,180x = 1,047,374,903.73
  5. Step 5: Solve for x
    x = 1,047,374,903.73/37,180
  6. Step 6: Final answer
    x = 28,170.38

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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.