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Finding the Fourth Proportional to 12,802.89, 17,668.07 and 7,138

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Solution

The fourth proportional to 12,802.89, 17,668.07 and 7,138 is: 9,850.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.89 : 17,668.07 = 7,138 : x
  2. Step 2: Convert to fraction form
    12,802.89/17,668.07 = 7,138/x
  3. Step 3: Cross multiply
    12,802.89x = 17,668.07 × 7,138
  4. Step 4: Simplify right side
    12,802.89x = 126,114,683.66
  5. Step 5: Solve for x
    x = 126,114,683.66/12,802.89
  6. Step 6: Final answer
    x = 9,850.49

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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.