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Finding the Fourth Proportional to 7,786.13, 11,679.19 and 2,592

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Solution

The fourth proportional to 7,786.13, 11,679.19 and 2,592 is: 3,888

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.13 : 11,679.19 = 2,592 : x
  2. Step 2: Convert to fraction form
    7,786.13/11,679.19 = 2,592/x
  3. Step 3: Cross multiply
    7,786.13x = 11,679.19 × 2,592
  4. Step 4: Simplify right side
    7,786.13x = 30,272,454
  5. Step 5: Solve for x
    x = 30,272,454/7,786.13
  6. Step 6: Final answer
    x = 3,888

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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.