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Finding the Fourth Proportional to 13,206.74, 18,224.26 and 7,616.66

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Solution

The fourth proportional to 13,206.74, 18,224.26 and 7,616.66 is: 10,510.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,206.74 : 18,224.26 = 7,616.66 : x
  2. Step 2: Convert to fraction form
    13,206.74/18,224.26 = 7,616.66/x
  3. Step 3: Cross multiply
    13,206.74x = 18,224.26 × 7,616.66
  4. Step 4: Simplify right side
    13,206.74x = 138,807,882.01
  5. Step 5: Solve for x
    x = 138,807,882.01/13,206.74
  6. Step 6: Final answer
    x = 10,510.39

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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.