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Finding the Fourth Proportional to 20,143.90, 30,205.05 and 8,443.90

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Solution

The fourth proportional to 20,143.90, 30,205.05 and 8,443.90 is: 12,661.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,143.90 : 30,205.05 = 8,443.90 : x
  2. Step 2: Convert to fraction form
    20,143.90/30,205.05 = 8,443.90/x
  3. Step 3: Cross multiply
    20,143.90x = 30,205.05 × 8,443.90
  4. Step 4: Simplify right side
    20,143.90x = 255,048,421.70
  5. Step 5: Solve for x
    x = 255,048,421.70/20,143.90
  6. Step 6: Final answer
    x = 12,661.32

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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.