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Finding the Fourth Proportional to 6,415.63, 9,604.86 and 3,942.96

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Solution

The fourth proportional to 6,415.63, 9,604.86 and 3,942.96 is: 5,903.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.63 : 9,604.86 = 3,942.96 : x
  2. Step 2: Convert to fraction form
    6,415.63/9,604.86 = 3,942.96/x
  3. Step 3: Cross multiply
    6,415.63x = 9,604.86 × 3,942.96
  4. Step 4: Simplify right side
    6,415.63x = 37,871,578.79
  5. Step 5: Solve for x
    x = 37,871,578.79/6,415.63
  6. Step 6: Final answer
    x = 5,903.02

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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.