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Finding the Fourth Proportional to 3,996.69, 6,007 and 3,307.79

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Solution

The fourth proportional to 3,996.69, 6,007 and 3,307.79 is: 4,971.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,996.69 : 6,007 = 3,307.79 : x
  2. Step 2: Convert to fraction form
    3,996.69/6,007 = 3,307.79/x
  3. Step 3: Cross multiply
    3,996.69x = 6,007 × 3,307.79
  4. Step 4: Simplify right side
    3,996.69x = 19,869,894.53
  5. Step 5: Solve for x
    x = 19,869,894.53/3,996.69
  6. Step 6: Final answer
    x = 4,971.59

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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.