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Finding the Fourth Proportional to 20,271.08, 30,406.62 and 6,419

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Solution

The fourth proportional to 20,271.08, 30,406.62 and 6,419 is: 9,628.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,271.08 : 30,406.62 = 6,419 : x
  2. Step 2: Convert to fraction form
    20,271.08/30,406.62 = 6,419/x
  3. Step 3: Cross multiply
    20,271.08x = 30,406.62 × 6,419
  4. Step 4: Simplify right side
    20,271.08x = 195,180,093.78
  5. Step 5: Solve for x
    x = 195,180,093.78/20,271.08
  6. Step 6: Final answer
    x = 9,628.50

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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.