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Finding the Fourth Proportional to 8,083.89, 12,130.38 and 3,153.87

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Solution

The fourth proportional to 8,083.89, 12,130.38 and 3,153.87 is: 4,732.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.89 : 12,130.38 = 3,153.87 : x
  2. Step 2: Convert to fraction form
    8,083.89/12,130.38 = 3,153.87/x
  3. Step 3: Cross multiply
    8,083.89x = 12,130.38 × 3,153.87
  4. Step 4: Simplify right side
    8,083.89x = 38,257,641.57
  5. Step 5: Solve for x
    x = 38,257,641.57/8,083.89
  6. Step 6: Final answer
    x = 4,732.58

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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.