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Finding the Fourth Proportional to 6,399.28, 8,827.64 and 4,406.38

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Solution

The fourth proportional to 6,399.28, 8,827.64 and 4,406.38 is: 6,078.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.28 : 8,827.64 = 4,406.38 : x
  2. Step 2: Convert to fraction form
    6,399.28/8,827.64 = 4,406.38/x
  3. Step 3: Cross multiply
    6,399.28x = 8,827.64 × 4,406.38
  4. Step 4: Simplify right side
    6,399.28x = 38,897,936.34
  5. Step 5: Solve for x
    x = 38,897,936.34/6,399.28
  6. Step 6: Final answer
    x = 6,078.49

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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.