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Finding the Fourth Proportional to 8,584.10, 12,877.60 and 2,659.63

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Solution

The fourth proportional to 8,584.10, 12,877.60 and 2,659.63 is: 3,989.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,584.10 : 12,877.60 = 2,659.63 : x
  2. Step 2: Convert to fraction form
    8,584.10/12,877.60 = 2,659.63/x
  3. Step 3: Cross multiply
    8,584.10x = 12,877.60 × 2,659.63
  4. Step 4: Simplify right side
    8,584.10x = 34,249,586.90
  5. Step 5: Solve for x
    x = 34,249,586.90/8,584.10
  6. Step 6: Final answer
    x = 3,989.89

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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.