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Finding the Fourth Proportional to 8,435.16, 12,652.88 and 2,591.82

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Solution

The fourth proportional to 8,435.16, 12,652.88 and 2,591.82 is: 3,887.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,435.16 : 12,652.88 = 2,591.82 : x
  2. Step 2: Convert to fraction form
    8,435.16/12,652.88 = 2,591.82/x
  3. Step 3: Cross multiply
    8,435.16x = 12,652.88 × 2,591.82
  4. Step 4: Simplify right side
    8,435.16x = 32,793,930.66
  5. Step 5: Solve for x
    x = 32,793,930.66/8,435.16
  6. Step 6: Final answer
    x = 3,887.77

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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.