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Finding the Fourth Proportional to 8,662.19, 12,977.38 and 7,728.26

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Solution

The fourth proportional to 8,662.19, 12,977.38 and 7,728.26 is: 11,578.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,662.19 : 12,977.38 = 7,728.26 : x
  2. Step 2: Convert to fraction form
    8,662.19/12,977.38 = 7,728.26/x
  3. Step 3: Cross multiply
    8,662.19x = 12,977.38 × 7,728.26
  4. Step 4: Simplify right side
    8,662.19x = 100,292,511.53
  5. Step 5: Solve for x
    x = 100,292,511.53/8,662.19
  6. Step 6: Final answer
    x = 11,578.20

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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.