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Finding the Fourth Proportional to 27,907.70, 41,825.10 and 20,107.40

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Solution

The fourth proportional to 27,907.70, 41,825.10 and 20,107.40 is: 30,134.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,907.70 : 41,825.10 = 20,107.40 : x
  2. Step 2: Convert to fraction form
    27,907.70/41,825.10 = 20,107.40/x
  3. Step 3: Cross multiply
    27,907.70x = 41,825.10 × 20,107.40
  4. Step 4: Simplify right side
    27,907.70x = 840,994,015.74
  5. Step 5: Solve for x
    x = 840,994,015.74/27,907.70
  6. Step 6: Final answer
    x = 30,134.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.