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Finding the Fourth Proportional to 7,751.58, 11,627.37 and 2,557.86

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Solution

The fourth proportional to 7,751.58, 11,627.37 and 2,557.86 is: 3,836.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.58 : 11,627.37 = 2,557.86 : x
  2. Step 2: Convert to fraction form
    7,751.58/11,627.37 = 2,557.86/x
  3. Step 3: Cross multiply
    7,751.58x = 11,627.37 × 2,557.86
  4. Step 4: Simplify right side
    7,751.58x = 29,741,184.63
  5. Step 5: Solve for x
    x = 29,741,184.63/7,751.58
  6. Step 6: Final answer
    x = 3,836.79

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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.