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Finding the Fourth Proportional to 13,706.54, 18,915.90 and 7,736.03

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Solution

The fourth proportional to 13,706.54, 18,915.90 and 7,736.03 is: 10,676.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.54 : 18,915.90 = 7,736.03 : x
  2. Step 2: Convert to fraction form
    13,706.54/18,915.90 = 7,736.03/x
  3. Step 3: Cross multiply
    13,706.54x = 18,915.90 × 7,736.03
  4. Step 4: Simplify right side
    13,706.54x = 146,333,969.88
  5. Step 5: Solve for x
    x = 146,333,969.88/13,706.54
  6. Step 6: Final answer
    x = 10,676.22

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1.5x scale

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.