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Finding the Fourth Proportional to 13,920.54, 19,211.49 and 7,954.08

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Solution

The fourth proportional to 13,920.54, 19,211.49 and 7,954.08 is: 10,977.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,920.54 : 19,211.49 = 7,954.08 : x
  2. Step 2: Convert to fraction form
    13,920.54/19,211.49 = 7,954.08/x
  3. Step 3: Cross multiply
    13,920.54x = 19,211.49 × 7,954.08
  4. Step 4: Simplify right side
    13,920.54x = 152,809,728.38
  5. Step 5: Solve for x
    x = 152,809,728.38/13,920.54
  6. Step 6: Final answer
    x = 10,977.28

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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.