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Finding the Fourth Proportional to 7,752.75, 11,627.87 and 2,129.11

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Solution

The fourth proportional to 7,752.75, 11,627.87 and 2,129.11 is: 3,193.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,752.75 : 11,627.87 = 2,129.11 : x
  2. Step 2: Convert to fraction form
    7,752.75/11,627.87 = 2,129.11/x
  3. Step 3: Cross multiply
    7,752.75x = 11,627.87 × 2,129.11
  4. Step 4: Simplify right side
    7,752.75x = 24,757,014.30
  5. Step 5: Solve for x
    x = 24,757,014.30/7,752.75
  6. Step 6: Final answer
    x = 3,193.32

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1.5x scale

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.