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Finding the Fourth Proportional to 8,286.60, 11,435.49 and 4,509.71

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Solution

The fourth proportional to 8,286.60, 11,435.49 and 4,509.71 is: 6,223.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.60 : 11,435.49 = 4,509.71 : x
  2. Step 2: Convert to fraction form
    8,286.60/11,435.49 = 4,509.71/x
  3. Step 3: Cross multiply
    8,286.60x = 11,435.49 × 4,509.71
  4. Step 4: Simplify right side
    8,286.60x = 51,570,729.31
  5. Step 5: Solve for x
    x = 51,570,729.31/8,286.60
  6. Step 6: Final answer
    x = 6,223.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.