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Finding the Fourth Proportional to 7,129.71, 10,696.39 and 2,968.34

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Solution

The fourth proportional to 7,129.71, 10,696.39 and 2,968.34 is: 4,453.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.71 : 10,696.39 = 2,968.34 : x
  2. Step 2: Convert to fraction form
    7,129.71/10,696.39 = 2,968.34/x
  3. Step 3: Cross multiply
    7,129.71x = 10,696.39 × 2,968.34
  4. Step 4: Simplify right side
    7,129.71x = 31,750,522.29
  5. Step 5: Solve for x
    x = 31,750,522.29/7,129.71
  6. Step 6: Final answer
    x = 4,453.27

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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.