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Finding the Fourth Proportional to 8,767.64, 13,143.64 and 3,219.72

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Solution

The fourth proportional to 8,767.64, 13,143.64 and 3,219.72 is: 4,826.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,767.64 : 13,143.64 = 3,219.72 : x
  2. Step 2: Convert to fraction form
    8,767.64/13,143.64 = 3,219.72/x
  3. Step 3: Cross multiply
    8,767.64x = 13,143.64 × 3,219.72
  4. Step 4: Simplify right side
    8,767.64x = 42,318,840.58
  5. Step 5: Solve for x
    x = 42,318,840.58/8,767.64
  6. Step 6: Final answer
    x = 4,826.71

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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.