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Finding the Fourth Proportional to 9,759.75, 13,464.78 and 6,404.42

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Solution

The fourth proportional to 9,759.75, 13,464.78 and 6,404.42 is: 8,835.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.75 : 13,464.78 = 6,404.42 : x
  2. Step 2: Convert to fraction form
    9,759.75/13,464.78 = 6,404.42/x
  3. Step 3: Cross multiply
    9,759.75x = 13,464.78 × 6,404.42
  4. Step 4: Simplify right side
    9,759.75x = 86,234,039.00
  5. Step 5: Solve for x
    x = 86,234,039.00/9,759.75
  6. Step 6: Final answer
    x = 8,835.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.