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Finding the Fourth Proportional to 6,409.76, 9,608.70 and 3,282.88

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Solution

The fourth proportional to 6,409.76, 9,608.70 and 3,282.88 is: 4,921.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.76 : 9,608.70 = 3,282.88 : x
  2. Step 2: Convert to fraction form
    6,409.76/9,608.70 = 3,282.88/x
  3. Step 3: Cross multiply
    6,409.76x = 9,608.70 × 3,282.88
  4. Step 4: Simplify right side
    6,409.76x = 31,544,209.06
  5. Step 5: Solve for x
    x = 31,544,209.06/6,409.76
  6. Step 6: Final answer
    x = 4,921.28

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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.