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Finding the Fourth Proportional to 9,917.12, 14,879.24 and 4,369.80

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Solution

The fourth proportional to 9,917.12, 14,879.24 and 4,369.80 is: 6,556.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917.12 : 14,879.24 = 4,369.80 : x
  2. Step 2: Convert to fraction form
    9,917.12/14,879.24 = 4,369.80/x
  3. Step 3: Cross multiply
    9,917.12x = 14,879.24 × 4,369.80
  4. Step 4: Simplify right side
    9,917.12x = 65,019,302.95
  5. Step 5: Solve for x
    x = 65,019,302.95/9,917.12
  6. Step 6: Final answer
    x = 6,556.27

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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.