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Finding the Fourth Proportional to 12,183.68, 16,810.62 and 7,147.64

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Solution

The fourth proportional to 12,183.68, 16,810.62 and 7,147.64 is: 9,862.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,183.68 : 16,810.62 = 7,147.64 : x
  2. Step 2: Convert to fraction form
    12,183.68/16,810.62 = 7,147.64/x
  3. Step 3: Cross multiply
    12,183.68x = 16,810.62 × 7,147.64
  4. Step 4: Simplify right side
    12,183.68x = 120,156,259.94
  5. Step 5: Solve for x
    x = 120,156,259.94/12,183.68
  6. Step 6: Final answer
    x = 9,862.07

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1.5x scale

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.