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Finding the Fourth Proportional to 13,920, 20,879.60 and 5,154.72

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Solution

The fourth proportional to 13,920, 20,879.60 and 5,154.72 is: 7,731.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,920 : 20,879.60 = 5,154.72 : x
  2. Step 2: Convert to fraction form
    13,920/20,879.60 = 5,154.72/x
  3. Step 3: Cross multiply
    13,920x = 20,879.60 × 5,154.72
  4. Step 4: Simplify right side
    13,920x = 107,628,465.94
  5. Step 5: Solve for x
    x = 107,628,465.94/13,920
  6. Step 6: Final answer
    x = 7,731.93

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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.