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Finding the Fourth Proportional to 8,420.62, 12,628.19 and 3,977.60

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Solution

The fourth proportional to 8,420.62, 12,628.19 and 3,977.60 is: 5,965.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.62 : 12,628.19 = 3,977.60 : x
  2. Step 2: Convert to fraction form
    8,420.62/12,628.19 = 3,977.60/x
  3. Step 3: Cross multiply
    8,420.62x = 12,628.19 × 3,977.60
  4. Step 4: Simplify right side
    8,420.62x = 50,229,825.40
  5. Step 5: Solve for x
    x = 50,229,825.40/8,420.62
  6. Step 6: Final answer
    x = 5,965.10

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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.