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Finding the Fourth Proportional to 8,529.78, 12,776.14 and 4,138

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Solution

The fourth proportional to 8,529.78, 12,776.14 and 4,138 is: 6,198.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,529.78 : 12,776.14 = 4,138 : x
  2. Step 2: Convert to fraction form
    8,529.78/12,776.14 = 4,138/x
  3. Step 3: Cross multiply
    8,529.78x = 12,776.14 × 4,138
  4. Step 4: Simplify right side
    8,529.78x = 52,867,667.32
  5. Step 5: Solve for x
    x = 52,867,667.32/8,529.78
  6. Step 6: Final answer
    x = 6,198.01

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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.