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Finding the Fourth Proportional to 12,083.10, 18,127.80 and 4,687.80

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Solution

The fourth proportional to 12,083.10, 18,127.80 and 4,687.80 is: 7,032.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.10 : 18,127.80 = 4,687.80 : x
  2. Step 2: Convert to fraction form
    12,083.10/18,127.80 = 4,687.80/x
  3. Step 3: Cross multiply
    12,083.10x = 18,127.80 × 4,687.80
  4. Step 4: Simplify right side
    12,083.10x = 84,979,500.84
  5. Step 5: Solve for x
    x = 84,979,500.84/12,083.10
  6. Step 6: Final answer
    x = 7,032.92

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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.