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Finding the Fourth Proportional to 13,498, 18,629.76 and 7,909

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Solution

The fourth proportional to 13,498, 18,629.76 and 7,909 is: 10,915.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,498 : 18,629.76 = 7,909 : x
  2. Step 2: Convert to fraction form
    13,498/18,629.76 = 7,909/x
  3. Step 3: Cross multiply
    13,498x = 18,629.76 × 7,909
  4. Step 4: Simplify right side
    13,498x = 147,342,771.84
  5. Step 5: Solve for x
    x = 147,342,771.84/13,498
  6. Step 6: Final answer
    x = 10,915.90

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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.