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Finding the Fourth Proportional to 9,900.21, 14,851.32 and 3,661.86

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Solution

The fourth proportional to 9,900.21, 14,851.32 and 3,661.86 is: 5,493.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,900.21 : 14,851.32 = 3,661.86 : x
  2. Step 2: Convert to fraction form
    9,900.21/14,851.32 = 3,661.86/x
  3. Step 3: Cross multiply
    9,900.21x = 14,851.32 × 3,661.86
  4. Step 4: Simplify right side
    9,900.21x = 54,383,454.66
  5. Step 5: Solve for x
    x = 54,383,454.66/9,900.21
  6. Step 6: Final answer
    x = 5,493.16

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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.