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Finding the Fourth Proportional to 6,415.68, 8,857.44 and 4,059.84

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Solution

The fourth proportional to 6,415.68, 8,857.44 and 4,059.84 is: 5,604.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.68 : 8,857.44 = 4,059.84 : x
  2. Step 2: Convert to fraction form
    6,415.68/8,857.44 = 4,059.84/x
  3. Step 3: Cross multiply
    6,415.68x = 8,857.44 × 4,059.84
  4. Step 4: Simplify right side
    6,415.68x = 35,959,789.21
  5. Step 5: Solve for x
    x = 35,959,789.21/6,415.68
  6. Step 6: Final answer
    x = 5,604.98

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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.