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Finding the Fourth Proportional to 8,495.48, 12,743.53 and 2,255.72

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Solution

The fourth proportional to 8,495.48, 12,743.53 and 2,255.72 is: 3,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,495.48 : 12,743.53 = 2,255.72 : x
  2. Step 2: Convert to fraction form
    8,495.48/12,743.53 = 2,255.72/x
  3. Step 3: Cross multiply
    8,495.48x = 12,743.53 × 2,255.72
  4. Step 4: Simplify right side
    8,495.48x = 28,745,766.13
  5. Step 5: Solve for x
    x = 28,745,766.13/8,495.48
  6. Step 6: Final answer
    x = 3,383.65

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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.