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Finding the Fourth Proportional to 8,266.79, 12,383.75 and 4,986.29

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Solution

The fourth proportional to 8,266.79, 12,383.75 and 4,986.29 is: 7,469.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.79 : 12,383.75 = 4,986.29 : x
  2. Step 2: Convert to fraction form
    8,266.79/12,383.75 = 4,986.29/x
  3. Step 3: Cross multiply
    8,266.79x = 12,383.75 × 4,986.29
  4. Step 4: Simplify right side
    8,266.79x = 61,749,012.21
  5. Step 5: Solve for x
    x = 61,749,012.21/8,266.79
  6. Step 6: Final answer
    x = 7,469.52

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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.