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Finding the Fourth Proportional to 6,960, 10,440 and 2,343

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Solution

The fourth proportional to 6,960, 10,440 and 2,343 is: 3,514.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,960 : 10,440 = 2,343 : x
  2. Step 2: Convert to fraction form
    6,960/10,440 = 2,343/x
  3. Step 3: Cross multiply
    6,960x = 10,440 × 2,343
  4. Step 4: Simplify right side
    6,960x = 24,460,920
  5. Step 5: Solve for x
    x = 24,460,920/6,960
  6. Step 6: Final answer
    x = 3,514.50

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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.