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Finding the Fourth Proportional to 12,114.80, 18,166.80 and 4,716.80

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Solution

The fourth proportional to 12,114.80, 18,166.80 and 4,716.80 is: 7,073.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.80 : 18,166.80 = 4,716.80 : x
  2. Step 2: Convert to fraction form
    12,114.80/18,166.80 = 4,716.80/x
  3. Step 3: Cross multiply
    12,114.80x = 18,166.80 × 4,716.80
  4. Step 4: Simplify right side
    12,114.80x = 85,689,162.24
  5. Step 5: Solve for x
    x = 85,689,162.24/12,114.80
  6. Step 6: Final answer
    x = 7,073.10

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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.