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Finding the Fourth Proportional to 7,006, 9,668.40 and 3,862.22

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Solution

The fourth proportional to 7,006, 9,668.40 and 3,862.22 is: 5,329.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006 : 9,668.40 = 3,862.22 : x
  2. Step 2: Convert to fraction form
    7,006/9,668.40 = 3,862.22/x
  3. Step 3: Cross multiply
    7,006x = 9,668.40 × 3,862.22
  4. Step 4: Simplify right side
    7,006x = 37,341,487.85
  5. Step 5: Solve for x
    x = 37,341,487.85/7,006
  6. Step 6: Final answer
    x = 5,329.93

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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.