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Finding the Fourth Proportional to 7,007, 9,669.42 and 3,863

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Solution

The fourth proportional to 7,007, 9,669.42 and 3,863 is: 5,330.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,007 : 9,669.42 = 3,863 : x
  2. Step 2: Convert to fraction form
    7,007/9,669.42 = 3,863/x
  3. Step 3: Cross multiply
    7,007x = 9,669.42 × 3,863
  4. Step 4: Simplify right side
    7,007x = 37,352,969.46
  5. Step 5: Solve for x
    x = 37,352,969.46/7,007
  6. Step 6: Final answer
    x = 5,330.81

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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.