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Finding the Fourth Proportional to 8,466.56, 12,700.12 and 2,919.84

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Solution

The fourth proportional to 8,466.56, 12,700.12 and 2,919.84 is: 4,379.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,466.56 : 12,700.12 = 2,919.84 : x
  2. Step 2: Convert to fraction form
    8,466.56/12,700.12 = 2,919.84/x
  3. Step 3: Cross multiply
    8,466.56x = 12,700.12 × 2,919.84
  4. Step 4: Simplify right side
    8,466.56x = 37,082,318.38
  5. Step 5: Solve for x
    x = 37,082,318.38/8,466.56
  6. Step 6: Final answer
    x = 4,379.86

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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.