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Finding the Fourth Proportional to 6,403.82, 8,836.38 and 3,752.06

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Solution

The fourth proportional to 6,403.82, 8,836.38 and 3,752.06 is: 5,177.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.82 : 8,836.38 = 3,752.06 : x
  2. Step 2: Convert to fraction form
    6,403.82/8,836.38 = 3,752.06/x
  3. Step 3: Cross multiply
    6,403.82x = 8,836.38 × 3,752.06
  4. Step 4: Simplify right side
    6,403.82x = 33,154,583.76
  5. Step 5: Solve for x
    x = 33,154,583.76/6,403.82
  6. Step 6: Final answer
    x = 5,177.32

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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.