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Finding the Fourth Proportional to 9,131, 13,696.53 and 2,205.50

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Solution

The fourth proportional to 9,131, 13,696.53 and 2,205.50 is: 3,308.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131 : 13,696.53 = 2,205.50 : x
  2. Step 2: Convert to fraction form
    9,131/13,696.53 = 2,205.50/x
  3. Step 3: Cross multiply
    9,131x = 13,696.53 × 2,205.50
  4. Step 4: Simplify right side
    9,131x = 30,207,696.92
  5. Step 5: Solve for x
    x = 30,207,696.92/9,131
  6. Step 6: Final answer
    x = 3,308.26

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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.