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Finding the Fourth Proportional to 8,515, 12,776.82 and 3,899.16

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Solution

The fourth proportional to 8,515, 12,776.82 and 3,899.16 is: 5,850.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,515 : 12,776.82 = 3,899.16 : x
  2. Step 2: Convert to fraction form
    8,515/12,776.82 = 3,899.16/x
  3. Step 3: Cross multiply
    8,515x = 12,776.82 × 3,899.16
  4. Step 4: Simplify right side
    8,515x = 49,818,865.47
  5. Step 5: Solve for x
    x = 49,818,865.47/8,515
  6. Step 6: Final answer
    x = 5,850.72

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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.