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Finding the Fourth Proportional to 8,661.96, 12,996 and 2,818.56

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Solution

The fourth proportional to 8,661.96, 12,996 and 2,818.56 is: 4,228.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,661.96 : 12,996 = 2,818.56 : x
  2. Step 2: Convert to fraction form
    8,661.96/12,996 = 2,818.56/x
  3. Step 3: Cross multiply
    8,661.96x = 12,996 × 2,818.56
  4. Step 4: Simplify right side
    8,661.96x = 36,630,005.76
  5. Step 5: Solve for x
    x = 36,630,005.76/8,661.96
  6. Step 6: Final answer
    x = 4,228.84

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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.