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Finding the Fourth Proportional to 18,042.75, 27,075.80 and 9,728.57

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Solution

The fourth proportional to 18,042.75, 27,075.80 and 9,728.57 is: 14,599.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,042.75 : 27,075.80 = 9,728.57 : x
  2. Step 2: Convert to fraction form
    18,042.75/27,075.80 = 9,728.57/x
  3. Step 3: Cross multiply
    18,042.75x = 27,075.80 × 9,728.57
  4. Step 4: Simplify right side
    18,042.75x = 263,408,907.62
  5. Step 5: Solve for x
    x = 263,408,907.62/18,042.75
  6. Step 6: Final answer
    x = 14,599.16

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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.