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Finding the Fourth Proportional to 20,075.70, 27,704.70 and 11,123.31

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Solution

The fourth proportional to 20,075.70, 27,704.70 and 11,123.31 is: 15,350.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,075.70 : 27,704.70 = 11,123.31 : x
  2. Step 2: Convert to fraction form
    20,075.70/27,704.70 = 11,123.31/x
  3. Step 3: Cross multiply
    20,075.70x = 27,704.70 × 11,123.31
  4. Step 4: Simplify right side
    20,075.70x = 308,167,966.56
  5. Step 5: Solve for x
    x = 308,167,966.56/20,075.70
  6. Step 6: Final answer
    x = 15,350.30

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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.