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Finding the Fourth Proportional to 11,185, 15,435.30 and 6,217

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Solution

The fourth proportional to 11,185, 15,435.30 and 6,217 is: 8,579.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,185 : 15,435.30 = 6,217 : x
  2. Step 2: Convert to fraction form
    11,185/15,435.30 = 6,217/x
  3. Step 3: Cross multiply
    11,185x = 15,435.30 × 6,217
  4. Step 4: Simplify right side
    11,185x = 95,961,260.10
  5. Step 5: Solve for x
    x = 95,961,260.10/11,185
  6. Step 6: Final answer
    x = 8,579.46

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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.