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Finding the Fourth Proportional to 9,160.92, 13,745.70 and 3,315.96

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Solution

The fourth proportional to 9,160.92, 13,745.70 and 3,315.96 is: 4,975.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.92 : 13,745.70 = 3,315.96 : x
  2. Step 2: Convert to fraction form
    9,160.92/13,745.70 = 3,315.96/x
  3. Step 3: Cross multiply
    9,160.92x = 13,745.70 × 3,315.96
  4. Step 4: Simplify right side
    9,160.92x = 45,580,191.37
  5. Step 5: Solve for x
    x = 45,580,191.37/9,160.92
  6. Step 6: Final answer
    x = 4,975.50

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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.