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Finding the Fourth Proportional to 13,115, 18,098.70 and 7,227

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Solution

The fourth proportional to 13,115, 18,098.70 and 7,227 is: 9,973.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,115 : 18,098.70 = 7,227 : x
  2. Step 2: Convert to fraction form
    13,115/18,098.70 = 7,227/x
  3. Step 3: Cross multiply
    13,115x = 18,098.70 × 7,227
  4. Step 4: Simplify right side
    13,115x = 130,799,304.90
  5. Step 5: Solve for x
    x = 130,799,304.90/13,115
  6. Step 6: Final answer
    x = 9,973.26

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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.