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Finding the Fourth Proportional to 8,207.80, 12,313.90 and 3,280.90

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Solution

The fourth proportional to 8,207.80, 12,313.90 and 3,280.90 is: 4,922.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.80 : 12,313.90 = 3,280.90 : x
  2. Step 2: Convert to fraction form
    8,207.80/12,313.90 = 3,280.90/x
  3. Step 3: Cross multiply
    8,207.80x = 12,313.90 × 3,280.90
  4. Step 4: Simplify right side
    8,207.80x = 40,400,674.51
  5. Step 5: Solve for x
    x = 40,400,674.51/8,207.80
  6. Step 6: Final answer
    x = 4,922.23

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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.