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Finding the Fourth Proportional to 8,913.69, 13,370.54 and 3,069.86

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Solution

The fourth proportional to 8,913.69, 13,370.54 and 3,069.86 is: 4,604.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,913.69 : 13,370.54 = 3,069.86 : x
  2. Step 2: Convert to fraction form
    8,913.69/13,370.54 = 3,069.86/x
  3. Step 3: Cross multiply
    8,913.69x = 13,370.54 × 3,069.86
  4. Step 4: Simplify right side
    8,913.69x = 41,045,603.72
  5. Step 5: Solve for x
    x = 41,045,603.72/8,913.69
  6. Step 6: Final answer
    x = 4,604.78

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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.