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Finding the Fourth Proportional to 8,305, 12,457.74 and 2,149

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Solution

The fourth proportional to 8,305, 12,457.74 and 2,149 is: 3,223.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305 : 12,457.74 = 2,149 : x
  2. Step 2: Convert to fraction form
    8,305/12,457.74 = 2,149/x
  3. Step 3: Cross multiply
    8,305x = 12,457.74 × 2,149
  4. Step 4: Simplify right side
    8,305x = 26,771,683.26
  5. Step 5: Solve for x
    x = 26,771,683.26/8,305
  6. Step 6: Final answer
    x = 3,223.56

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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.