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Finding the Fourth Proportional to 7,643.97, 11,460.74 and 3,425.67

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Solution

The fourth proportional to 7,643.97, 11,460.74 and 3,425.67 is: 5,136.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.97 : 11,460.74 = 3,425.67 : x
  2. Step 2: Convert to fraction form
    7,643.97/11,460.74 = 3,425.67/x
  3. Step 3: Cross multiply
    7,643.97x = 11,460.74 × 3,425.67
  4. Step 4: Simplify right side
    7,643.97x = 39,260,696.07
  5. Step 5: Solve for x
    x = 39,260,696.07/7,643.97
  6. Step 6: Final answer
    x = 5,136.17

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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.