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Finding the Fourth Proportional to 6,343.62, 9,515.88 and 1,960.50

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Solution

The fourth proportional to 6,343.62, 9,515.88 and 1,960.50 is: 2,940.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.62 : 9,515.88 = 1,960.50 : x
  2. Step 2: Convert to fraction form
    6,343.62/9,515.88 = 1,960.50/x
  3. Step 3: Cross multiply
    6,343.62x = 9,515.88 × 1,960.50
  4. Step 4: Simplify right side
    6,343.62x = 18,655,882.74
  5. Step 5: Solve for x
    x = 18,655,882.74/6,343.62
  6. Step 6: Final answer
    x = 2,940.89

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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.