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Finding the Fourth Proportional to 6,007.65, 9,011.50 and 3,940.78

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Solution

The fourth proportional to 6,007.65, 9,011.50 and 3,940.78 is: 5,911.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,007.65 : 9,011.50 = 3,940.78 : x
  2. Step 2: Convert to fraction form
    6,007.65/9,011.50 = 3,940.78/x
  3. Step 3: Cross multiply
    6,007.65x = 9,011.50 × 3,940.78
  4. Step 4: Simplify right side
    6,007.65x = 35,512,293.91
  5. Step 5: Solve for x
    x = 35,512,293.91/6,007.65
  6. Step 6: Final answer
    x = 5,911.18

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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.