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Finding the Fourth Proportional to 8,122.77, 12,176.82 and 2,925

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Solution

The fourth proportional to 8,122.77, 12,176.82 and 2,925 is: 4,384.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.77 : 12,176.82 = 2,925 : x
  2. Step 2: Convert to fraction form
    8,122.77/12,176.82 = 2,925/x
  3. Step 3: Cross multiply
    8,122.77x = 12,176.82 × 2,925
  4. Step 4: Simplify right side
    8,122.77x = 35,617,198.50
  5. Step 5: Solve for x
    x = 35,617,198.50/8,122.77
  6. Step 6: Final answer
    x = 4,384.86

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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.