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Finding the Fourth Proportional to 8,507.97, 12,765.60 and 5,745.06

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Solution

The fourth proportional to 8,507.97, 12,765.60 and 5,745.06 is: 8,620.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.97 : 12,765.60 = 5,745.06 : x
  2. Step 2: Convert to fraction form
    8,507.97/12,765.60 = 5,745.06/x
  3. Step 3: Cross multiply
    8,507.97x = 12,765.60 × 5,745.06
  4. Step 4: Simplify right side
    8,507.97x = 73,339,137.94
  5. Step 5: Solve for x
    x = 73,339,137.94/8,507.97
  6. Step 6: Final answer
    x = 8,620.05

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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.