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Finding the Fourth Proportional to 13,105, 18,084.90 and 7,217

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Solution

The fourth proportional to 13,105, 18,084.90 and 7,217 is: 9,959.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,105 : 18,084.90 = 7,217 : x
  2. Step 2: Convert to fraction form
    13,105/18,084.90 = 7,217/x
  3. Step 3: Cross multiply
    13,105x = 18,084.90 × 7,217
  4. Step 4: Simplify right side
    13,105x = 130,518,723.30
  5. Step 5: Solve for x
    x = 130,518,723.30/13,105
  6. Step 6: Final answer
    x = 9,959.46

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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.