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Finding the Fourth Proportional to 8,439.78, 12,656 and 3,242

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Solution

The fourth proportional to 8,439.78, 12,656 and 3,242 is: 4,861.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,439.78 : 12,656 = 3,242 : x
  2. Step 2: Convert to fraction form
    8,439.78/12,656 = 3,242/x
  3. Step 3: Cross multiply
    8,439.78x = 12,656 × 3,242
  4. Step 4: Simplify right side
    8,439.78x = 41,030,752
  5. Step 5: Solve for x
    x = 41,030,752/8,439.78
  6. Step 6: Final answer
    x = 4,861.59

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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.