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Finding the Fourth Proportional to 12,530.76, 18,823.26 and 8,145.96

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Solution

The fourth proportional to 12,530.76, 18,823.26 and 8,145.96 is: 12,236.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,530.76 : 18,823.26 = 8,145.96 : x
  2. Step 2: Convert to fraction form
    12,530.76/18,823.26 = 8,145.96/x
  3. Step 3: Cross multiply
    12,530.76x = 18,823.26 × 8,145.96
  4. Step 4: Simplify right side
    12,530.76x = 153,333,523.03
  5. Step 5: Solve for x
    x = 153,333,523.03/12,530.76
  6. Step 6: Final answer
    x = 12,236.57

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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.