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Finding the Fourth Proportional to 6,399.63, 8,830.17 and 4,040.46

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Solution

The fourth proportional to 6,399.63, 8,830.17 and 4,040.46 is: 5,575.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,399.63 : 8,830.17 = 4,040.46 : x
  2. Step 2: Convert to fraction form
    6,399.63/8,830.17 = 4,040.46/x
  3. Step 3: Cross multiply
    6,399.63x = 8,830.17 × 4,040.46
  4. Step 4: Simplify right side
    6,399.63x = 35,677,948.68
  5. Step 5: Solve for x
    x = 35,677,948.68/6,399.63
  6. Step 6: Final answer
    x = 5,575.00

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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.