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Finding the Fourth Proportional to 6,386.09, 9,579.13 and 2,003.88

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Solution

The fourth proportional to 6,386.09, 9,579.13 and 2,003.88 is: 3,005.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,386.09 : 9,579.13 = 2,003.88 : x
  2. Step 2: Convert to fraction form
    6,386.09/9,579.13 = 2,003.88/x
  3. Step 3: Cross multiply
    6,386.09x = 9,579.13 × 2,003.88
  4. Step 4: Simplify right side
    6,386.09x = 19,195,422.01
  5. Step 5: Solve for x
    x = 19,195,422.01/6,386.09
  6. Step 6: Final answer
    x = 3,005.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.