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Finding the Fourth Proportional to 8,427.51, 12,640.79 and 2,584.10

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Solution

The fourth proportional to 8,427.51, 12,640.79 and 2,584.10 is: 3,876.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.51 : 12,640.79 = 2,584.10 : x
  2. Step 2: Convert to fraction form
    8,427.51/12,640.79 = 2,584.10/x
  3. Step 3: Cross multiply
    8,427.51x = 12,640.79 × 2,584.10
  4. Step 4: Simplify right side
    8,427.51x = 32,665,103.50
  5. Step 5: Solve for x
    x = 32,665,103.50/8,427.51
  6. Step 6: Final answer
    x = 3,876.01

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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.