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Finding the Fourth Proportional to 12,530.09, 18,795.06 and 5,134.54

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Solution

The fourth proportional to 12,530.09, 18,795.06 and 5,134.54 is: 7,701.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,530.09 : 18,795.06 = 5,134.54 : x
  2. Step 2: Convert to fraction form
    12,530.09/18,795.06 = 5,134.54/x
  3. Step 3: Cross multiply
    12,530.09x = 18,795.06 × 5,134.54
  4. Step 4: Simplify right side
    12,530.09x = 96,503,990.07
  5. Step 5: Solve for x
    x = 96,503,990.07/12,530.09
  6. Step 6: Final answer
    x = 7,701.78

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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.