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Finding the Fourth Proportional to 13,206, 18,225.09 and 7,617

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Solution

The fourth proportional to 13,206, 18,225.09 and 7,617 is: 10,511.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206 : 18,225.09 = 7,617 : x
  2. Step 2: Convert to fraction form
    13,206/18,225.09 = 7,617/x
  3. Step 3: Cross multiply
    13,206x = 18,225.09 × 7,617
  4. Step 4: Simplify right side
    13,206x = 138,820,510.53
  5. Step 5: Solve for x
    x = 138,820,510.53/13,206
  6. Step 6: Final answer
    x = 10,511.93

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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.