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Finding the Fourth Proportional to 9,940.86, 14,922.16 and 6,780.65

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Solution

The fourth proportional to 9,940.86, 14,922.16 and 6,780.65 is: 10,178.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.86 : 14,922.16 = 6,780.65 : x
  2. Step 2: Convert to fraction form
    9,940.86/14,922.16 = 6,780.65/x
  3. Step 3: Cross multiply
    9,940.86x = 14,922.16 × 6,780.65
  4. Step 4: Simplify right side
    9,940.86x = 101,181,852.64
  5. Step 5: Solve for x
    x = 101,181,852.64/9,940.86
  6. Step 6: Final answer
    x = 10,178.38

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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.