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Finding the Fourth Proportional to 8,200.40, 12,300.60 and 4,733.60

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Solution

The fourth proportional to 8,200.40, 12,300.60 and 4,733.60 is: 7,100.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.40 : 12,300.60 = 4,733.60 : x
  2. Step 2: Convert to fraction form
    8,200.40/12,300.60 = 4,733.60/x
  3. Step 3: Cross multiply
    8,200.40x = 12,300.60 × 4,733.60
  4. Step 4: Simplify right side
    8,200.40x = 58,226,120.16
  5. Step 5: Solve for x
    x = 58,226,120.16/8,200.40
  6. Step 6: Final answer
    x = 7,100.40

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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.