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Finding the Fourth Proportional to 8,137.94, 12,206.16 and 2,871.84

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Solution

The fourth proportional to 8,137.94, 12,206.16 and 2,871.84 is: 4,307.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.94 : 12,206.16 = 2,871.84 : x
  2. Step 2: Convert to fraction form
    8,137.94/12,206.16 = 2,871.84/x
  3. Step 3: Cross multiply
    8,137.94x = 12,206.16 × 2,871.84
  4. Step 4: Simplify right side
    8,137.94x = 35,054,138.53
  5. Step 5: Solve for x
    x = 35,054,138.53/8,137.94
  6. Step 6: Final answer
    x = 4,307.50

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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.