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Finding the Fourth Proportional to 37,191, 51,323.94 and 20,195.40

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Solution

The fourth proportional to 37,191, 51,323.94 and 20,195.40 is: 27,869.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,191 : 51,323.94 = 20,195.40 : x
  2. Step 2: Convert to fraction form
    37,191/51,323.94 = 20,195.40/x
  3. Step 3: Cross multiply
    37,191x = 51,323.94 × 20,195.40
  4. Step 4: Simplify right side
    37,191x = 1,036,507,497.88
  5. Step 5: Solve for x
    x = 1,036,507,497.88/37,191
  6. Step 6: Final answer
    x = 27,869.85

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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.