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Finding the Fourth Proportional to 6,400.80, 8,814.78 and 4,629.60

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Solution

The fourth proportional to 6,400.80, 8,814.78 and 4,629.60 is: 6,375.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,400.80 : 8,814.78 = 4,629.60 : x
  2. Step 2: Convert to fraction form
    6,400.80/8,814.78 = 4,629.60/x
  3. Step 3: Cross multiply
    6,400.80x = 8,814.78 × 4,629.60
  4. Step 4: Simplify right side
    6,400.80x = 40,808,905.49
  5. Step 5: Solve for x
    x = 40,808,905.49/6,400.80
  6. Step 6: Final answer
    x = 6,375.59

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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.