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Finding the Fourth Proportional to 9,893.62, 14,835.67 and 3,315.21

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Solution

The fourth proportional to 9,893.62, 14,835.67 and 3,315.21 is: 4,971.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.62 : 14,835.67 = 3,315.21 : x
  2. Step 2: Convert to fraction form
    9,893.62/14,835.67 = 3,315.21/x
  3. Step 3: Cross multiply
    9,893.62x = 14,835.67 × 3,315.21
  4. Step 4: Simplify right side
    9,893.62x = 49,183,361.54
  5. Step 5: Solve for x
    x = 49,183,361.54/9,893.62
  6. Step 6: Final answer
    x = 4,971.22

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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.