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Finding the Fourth Proportional to 8,383.40, 12,583.20 and 4,228.10

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Solution

The fourth proportional to 8,383.40, 12,583.20 and 4,228.10 is: 6,346.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,383.40 : 12,583.20 = 4,228.10 : x
  2. Step 2: Convert to fraction form
    8,383.40/12,583.20 = 4,228.10/x
  3. Step 3: Cross multiply
    8,383.40x = 12,583.20 × 4,228.10
  4. Step 4: Simplify right side
    8,383.40x = 53,203,027.92
  5. Step 5: Solve for x
    x = 53,203,027.92/8,383.40
  6. Step 6: Final answer
    x = 6,346.24

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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.