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Finding the Fourth Proportional to 20,075.84, 27,704.84 and 11,123.54

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Solution

The fourth proportional to 20,075.84, 27,704.84 and 11,123.54 is: 15,350.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,075.84 : 27,704.84 = 11,123.54 : x
  2. Step 2: Convert to fraction form
    20,075.84/27,704.84 = 11,123.54/x
  3. Step 3: Cross multiply
    20,075.84x = 27,704.84 × 11,123.54
  4. Step 4: Simplify right side
    20,075.84x = 308,175,701.79
  5. Step 5: Solve for x
    x = 308,175,701.79/20,075.84
  6. Step 6: Final answer
    x = 15,350.58

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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.