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Finding the Fourth Proportional to 8,202.64, 12,303.96 and 2,655.86

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Solution

The fourth proportional to 8,202.64, 12,303.96 and 2,655.86 is: 3,983.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,202.64 : 12,303.96 = 2,655.86 : x
  2. Step 2: Convert to fraction form
    8,202.64/12,303.96 = 2,655.86/x
  3. Step 3: Cross multiply
    8,202.64x = 12,303.96 × 2,655.86
  4. Step 4: Simplify right side
    8,202.64x = 32,677,595.21
  5. Step 5: Solve for x
    x = 32,677,595.21/8,202.64
  6. Step 6: Final answer
    x = 3,983.79

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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.