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Finding the Fourth Proportional to 8,642, 11,926 and 4,916

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Solution

The fourth proportional to 8,642, 11,926 and 4,916 is: 6,784.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,642 : 11,926 = 4,916 : x
  2. Step 2: Convert to fraction form
    8,642/11,926 = 4,916/x
  3. Step 3: Cross multiply
    8,642x = 11,926 × 4,916
  4. Step 4: Simplify right side
    8,642x = 58,628,216
  5. Step 5: Solve for x
    x = 58,628,216/8,642
  6. Step 6: Final answer
    x = 6,784.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.