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Finding the Fourth Proportional to 6,577.60, 9,076.88 and 3,923.64

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Solution

The fourth proportional to 6,577.60, 9,076.88 and 3,923.64 is: 5,414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,577.60 : 9,076.88 = 3,923.64 : x
  2. Step 2: Convert to fraction form
    6,577.60/9,076.88 = 3,923.64/x
  3. Step 3: Cross multiply
    6,577.60x = 9,076.88 × 3,923.64
  4. Step 4: Simplify right side
    6,577.60x = 35,614,409.44
  5. Step 5: Solve for x
    x = 35,614,409.44/6,577.60
  6. Step 6: Final answer
    x = 5,414.50

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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.