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Finding the Fourth Proportional to 7,751.34, 11,625.80 and 2,820.27

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Solution

The fourth proportional to 7,751.34, 11,625.80 and 2,820.27 is: 4,229.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.34 : 11,625.80 = 2,820.27 : x
  2. Step 2: Convert to fraction form
    7,751.34/11,625.80 = 2,820.27/x
  3. Step 3: Cross multiply
    7,751.34x = 11,625.80 × 2,820.27
  4. Step 4: Simplify right side
    7,751.34x = 32,787,880.86
  5. Step 5: Solve for x
    x = 32,787,880.86/7,751.34
  6. Step 6: Final answer
    x = 4,229.96

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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.