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Finding the Fourth Proportional to 9,882, 14,804.46 and 4,945.86

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Solution

The fourth proportional to 9,882, 14,804.46 and 4,945.86 is: 7,409.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882 : 14,804.46 = 4,945.86 : x
  2. Step 2: Convert to fraction form
    9,882/14,804.46 = 4,945.86/x
  3. Step 3: Cross multiply
    9,882x = 14,804.46 × 4,945.86
  4. Step 4: Simplify right side
    9,882x = 73,220,786.54
  5. Step 5: Solve for x
    x = 73,220,786.54/9,882
  6. Step 6: Final answer
    x = 7,409.51

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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.