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Finding the Fourth Proportional to 8,429.64, 12,640.42 and 3,983.60

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Solution

The fourth proportional to 8,429.64, 12,640.42 and 3,983.60 is: 5,973.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.64 : 12,640.42 = 3,983.60 : x
  2. Step 2: Convert to fraction form
    8,429.64/12,640.42 = 3,983.60/x
  3. Step 3: Cross multiply
    8,429.64x = 12,640.42 × 3,983.60
  4. Step 4: Simplify right side
    8,429.64x = 50,354,391.28
  5. Step 5: Solve for x
    x = 50,354,391.28/8,429.64
  6. Step 6: Final answer
    x = 5,973.50

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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.