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Finding the Fourth Proportional to 6,509.79, 9,745.25 and 4,431.87

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Solution

The fourth proportional to 6,509.79, 9,745.25 and 4,431.87 is: 6,634.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.79 : 9,745.25 = 4,431.87 : x
  2. Step 2: Convert to fraction form
    6,509.79/9,745.25 = 4,431.87/x
  3. Step 3: Cross multiply
    6,509.79x = 9,745.25 × 4,431.87
  4. Step 4: Simplify right side
    6,509.79x = 43,189,658.96
  5. Step 5: Solve for x
    x = 43,189,658.96/6,509.79
  6. Step 6: Final answer
    x = 6,634.57

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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.