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Finding the Fourth Proportional to 6,310.32, 8,699.76 and 4,419.36

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Solution

The fourth proportional to 6,310.32, 8,699.76 and 4,419.36 is: 6,092.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.32 : 8,699.76 = 4,419.36 : x
  2. Step 2: Convert to fraction form
    6,310.32/8,699.76 = 4,419.36/x
  3. Step 3: Cross multiply
    6,310.32x = 8,699.76 × 4,419.36
  4. Step 4: Simplify right side
    6,310.32x = 38,447,371.35
  5. Step 5: Solve for x
    x = 38,447,371.35/6,310.32
  6. Step 6: Final answer
    x = 6,092.78

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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.