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Finding the Fourth Proportional to 12,366, 17,065.28 and 6,777

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Solution

The fourth proportional to 12,366, 17,065.28 and 6,777 is: 9,352.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,366 : 17,065.28 = 6,777 : x
  2. Step 2: Convert to fraction form
    12,366/17,065.28 = 6,777/x
  3. Step 3: Cross multiply
    12,366x = 17,065.28 × 6,777
  4. Step 4: Simplify right side
    12,366x = 115,651,419.50
  5. Step 5: Solve for x
    x = 115,651,419.50/12,366
  6. Step 6: Final answer
    x = 9,352.37

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Why These Related Problems?

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