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Finding the Fourth Proportional to 7,752.63, 11,629.74 and 2,486.34

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Solution

The fourth proportional to 7,752.63, 11,629.74 and 2,486.34 is: 3,729.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.63 : 11,629.74 = 2,486.34 : x
  2. Step 2: Convert to fraction form
    7,752.63/11,629.74 = 2,486.34/x
  3. Step 3: Cross multiply
    7,752.63x = 11,629.74 × 2,486.34
  4. Step 4: Simplify right side
    7,752.63x = 28,915,487.75
  5. Step 5: Solve for x
    x = 28,915,487.75/7,752.63
  6. Step 6: Final answer
    x = 3,729.76

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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.