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Finding the Fourth Proportional to 8,200.60, 12,300.90 and 2,277.48

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Solution

The fourth proportional to 8,200.60, 12,300.90 and 2,277.48 is: 3,416.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.60 : 12,300.90 = 2,277.48 : x
  2. Step 2: Convert to fraction form
    8,200.60/12,300.90 = 2,277.48/x
  3. Step 3: Cross multiply
    8,200.60x = 12,300.90 × 2,277.48
  4. Step 4: Simplify right side
    8,200.60x = 28,014,992.23
  5. Step 5: Solve for x
    x = 28,014,992.23/8,200.60
  6. Step 6: Final answer
    x = 3,416.21

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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.