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Finding the Fourth Proportional to 13,747.65, 18,960.06 and 9,265.52

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Solution

The fourth proportional to 13,747.65, 18,960.06 and 9,265.52 is: 12,778.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,747.65 : 18,960.06 = 9,265.52 : x
  2. Step 2: Convert to fraction form
    13,747.65/18,960.06 = 9,265.52/x
  3. Step 3: Cross multiply
    13,747.65x = 18,960.06 × 9,265.52
  4. Step 4: Simplify right side
    13,747.65x = 175,674,815.13
  5. Step 5: Solve for x
    x = 175,674,815.13/13,747.65
  6. Step 6: Final answer
    x = 12,778.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.