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Finding the Fourth Proportional to 20,075.81, 27,704.81 and 11,123.42

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Solution

The fourth proportional to 20,075.81, 27,704.81 and 11,123.42 is: 15,350.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,075.81 : 27,704.81 = 11,123.42 : x
  2. Step 2: Convert to fraction form
    20,075.81/27,704.81 = 11,123.42/x
  3. Step 3: Cross multiply
    20,075.81x = 27,704.81 × 11,123.42
  4. Step 4: Simplify right side
    20,075.81x = 308,172,126.93
  5. Step 5: Solve for x
    x = 308,172,126.93/20,075.81
  6. Step 6: Final answer
    x = 15,350.42

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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.