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Finding the Fourth Proportional to 8,283.10, 12,408.45 and 4,986.40

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Solution

The fourth proportional to 8,283.10, 12,408.45 and 4,986.40 is: 7,469.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.10 : 12,408.45 = 4,986.40 : x
  2. Step 2: Convert to fraction form
    8,283.10/12,408.45 = 4,986.40/x
  3. Step 3: Cross multiply
    8,283.10x = 12,408.45 × 4,986.40
  4. Step 4: Simplify right side
    8,283.10x = 61,873,495.08
  5. Step 5: Solve for x
    x = 61,873,495.08/8,283.10
  6. Step 6: Final answer
    x = 7,469.85

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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.