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Finding the Fourth Proportional to 13,949, 20,926.74 and 4,715

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Solution

The fourth proportional to 13,949, 20,926.74 and 4,715 is: 7,073.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,949 : 20,926.74 = 4,715 : x
  2. Step 2: Convert to fraction form
    13,949/20,926.74 = 4,715/x
  3. Step 3: Cross multiply
    13,949x = 20,926.74 × 4,715
  4. Step 4: Simplify right side
    13,949x = 98,669,579.10
  5. Step 5: Solve for x
    x = 98,669,579.10/13,949
  6. Step 6: Final answer
    x = 7,073.60

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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.