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Finding the Fourth Proportional to 6,960, 9,606.96 and 4,476

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Solution

The fourth proportional to 6,960, 9,606.96 and 4,476 is: 6,178.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,960 : 9,606.96 = 4,476 : x
  2. Step 2: Convert to fraction form
    6,960/9,606.96 = 4,476/x
  3. Step 3: Cross multiply
    6,960x = 9,606.96 × 4,476
  4. Step 4: Simplify right side
    6,960x = 43,000,752.96
  5. Step 5: Solve for x
    x = 43,000,752.96/6,960
  6. Step 6: Final answer
    x = 6,178.27

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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.