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Finding the Fourth Proportional to 13,381.48, 20,075.46 and 4,021.48

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Solution

The fourth proportional to 13,381.48, 20,075.46 and 4,021.48 is: 6,033.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,381.48 : 20,075.46 = 4,021.48 : x
  2. Step 2: Convert to fraction form
    13,381.48/20,075.46 = 4,021.48/x
  3. Step 3: Cross multiply
    13,381.48x = 20,075.46 × 4,021.48
  4. Step 4: Simplify right side
    13,381.48x = 80,733,060.88
  5. Step 5: Solve for x
    x = 80,733,060.88/13,381.48
  6. Step 6: Final answer
    x = 6,033.19

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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.