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Finding the Fourth Proportional to 13,939, 20,911.74 and 4,705

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Solution

The fourth proportional to 13,939, 20,911.74 and 4,705 is: 7,058.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,939 : 20,911.74 = 4,705 : x
  2. Step 2: Convert to fraction form
    13,939/20,911.74 = 4,705/x
  3. Step 3: Cross multiply
    13,939x = 20,911.74 × 4,705
  4. Step 4: Simplify right side
    13,939x = 98,389,736.70
  5. Step 5: Solve for x
    x = 98,389,736.70/13,939
  6. Step 6: Final answer
    x = 7,058.59

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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.