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Finding the Fourth Proportional to 7,786, 11,680.24 and 2,593.10

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Solution

The fourth proportional to 7,786, 11,680.24 and 2,593.10 is: 3,890.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786 : 11,680.24 = 2,593.10 : x
  2. Step 2: Convert to fraction form
    7,786/11,680.24 = 2,593.10/x
  3. Step 3: Cross multiply
    7,786x = 11,680.24 × 2,593.10
  4. Step 4: Simplify right side
    7,786x = 30,288,030.34
  5. Step 5: Solve for x
    x = 30,288,030.34/7,786
  6. Step 6: Final answer
    x = 3,890.06

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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.