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Finding the Fourth Proportional to 7,759.58, 11,639.40 and 2,829.21

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Solution

The fourth proportional to 7,759.58, 11,639.40 and 2,829.21 is: 4,243.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,759.58 : 11,639.40 = 2,829.21 : x
  2. Step 2: Convert to fraction form
    7,759.58/11,639.40 = 2,829.21/x
  3. Step 3: Cross multiply
    7,759.58x = 11,639.40 × 2,829.21
  4. Step 4: Simplify right side
    7,759.58x = 32,930,292.73
  5. Step 5: Solve for x
    x = 32,930,292.73/7,759.58
  6. Step 6: Final answer
    x = 4,243.82

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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.