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Finding the Fourth Proportional to 7,882.66, 11,813.01 and 3,982.51

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Solution

The fourth proportional to 7,882.66, 11,813.01 and 3,982.51 is: 5,968.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,882.66 : 11,813.01 = 3,982.51 : x
  2. Step 2: Convert to fraction form
    7,882.66/11,813.01 = 3,982.51/x
  3. Step 3: Cross multiply
    7,882.66x = 11,813.01 × 3,982.51
  4. Step 4: Simplify right side
    7,882.66x = 47,045,430.46
  5. Step 5: Solve for x
    x = 47,045,430.46/7,882.66
  6. Step 6: Final answer
    x = 5,968.22

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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.