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Finding the Fourth Proportional to 7,554.81, 11,315.79 and 3,651

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Solution

The fourth proportional to 7,554.81, 11,315.79 and 3,651 is: 5,468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,554.81 : 11,315.79 = 3,651 : x
  2. Step 2: Convert to fraction form
    7,554.81/11,315.79 = 3,651/x
  3. Step 3: Cross multiply
    7,554.81x = 11,315.79 × 3,651
  4. Step 4: Simplify right side
    7,554.81x = 41,313,949.29
  5. Step 5: Solve for x
    x = 41,313,949.29/7,554.81
  6. Step 6: Final answer
    x = 5,468.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.