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Finding the Fourth Proportional to 13,954, 20,930.40 and 3,565.44

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Solution

The fourth proportional to 13,954, 20,930.40 and 3,565.44 is: 5,348.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,954 : 20,930.40 = 3,565.44 : x
  2. Step 2: Convert to fraction form
    13,954/20,930.40 = 3,565.44/x
  3. Step 3: Cross multiply
    13,954x = 20,930.40 × 3,565.44
  4. Step 4: Simplify right side
    13,954x = 74,626,085.38
  5. Step 5: Solve for x
    x = 74,626,085.38/13,954
  6. Step 6: Final answer
    x = 5,348.01

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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.