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Finding the Fourth Proportional to 8,406.64, 12,606.31 and 2,858.50

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Solution

The fourth proportional to 8,406.64, 12,606.31 and 2,858.50 is: 4,286.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.64 : 12,606.31 = 2,858.50 : x
  2. Step 2: Convert to fraction form
    8,406.64/12,606.31 = 2,858.50/x
  3. Step 3: Cross multiply
    8,406.64x = 12,606.31 × 2,858.50
  4. Step 4: Simplify right side
    8,406.64x = 36,035,098.47
  5. Step 5: Solve for x
    x = 36,035,098.47/8,406.64
  6. Step 6: Final answer
    x = 4,286.51

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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.