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Finding the Fourth Proportional to 20,050.20, 30,075.30 and 13,829.40

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Solution

The fourth proportional to 20,050.20, 30,075.30 and 13,829.40 is: 20,744.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,050.20 : 30,075.30 = 13,829.40 : x
  2. Step 2: Convert to fraction form
    20,050.20/30,075.30 = 13,829.40/x
  3. Step 3: Cross multiply
    20,050.20x = 30,075.30 × 13,829.40
  4. Step 4: Simplify right side
    20,050.20x = 415,923,353.82
  5. Step 5: Solve for x
    x = 415,923,353.82/20,050.20
  6. Step 6: Final answer
    x = 20,744.10

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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.