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Finding the Fourth Proportional to 8,642, 12,968.76 and 3,170

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Solution

The fourth proportional to 8,642, 12,968.76 and 3,170 is: 4,757.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642 : 12,968.76 = 3,170 : x
  2. Step 2: Convert to fraction form
    8,642/12,968.76 = 3,170/x
  3. Step 3: Cross multiply
    8,642x = 12,968.76 × 3,170
  4. Step 4: Simplify right side
    8,642x = 41,110,969.20
  5. Step 5: Solve for x
    x = 41,110,969.20/8,642
  6. Step 6: Final answer
    x = 4,757.11

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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.