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Finding the Fourth Proportional to 11,308, 16,962.96 and 3,100

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Solution

The fourth proportional to 11,308, 16,962.96 and 3,100 is: 4,650.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,308 : 16,962.96 = 3,100 : x
  2. Step 2: Convert to fraction form
    11,308/16,962.96 = 3,100/x
  3. Step 3: Cross multiply
    11,308x = 16,962.96 × 3,100
  4. Step 4: Simplify right side
    11,308x = 52,585,176
  5. Step 5: Solve for x
    x = 52,585,176/11,308
  6. Step 6: Final answer
    x = 4,650.26

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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.