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Finding the Fourth Proportional to 6,400.64, 9,600.96 and 3,804.80

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Solution

The fourth proportional to 6,400.64, 9,600.96 and 3,804.80 is: 5,707.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.64 : 9,600.96 = 3,804.80 : x
  2. Step 2: Convert to fraction form
    6,400.64/9,600.96 = 3,804.80/x
  3. Step 3: Cross multiply
    6,400.64x = 9,600.96 × 3,804.80
  4. Step 4: Simplify right side
    6,400.64x = 36,529,732.61
  5. Step 5: Solve for x
    x = 36,529,732.61/6,400.64
  6. Step 6: Final answer
    x = 5,707.20

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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.