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Finding the Fourth Proportional to 8,498.70, 12,747.78 and 4,116.60

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Solution

The fourth proportional to 8,498.70, 12,747.78 and 4,116.60 is: 6,174.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.70 : 12,747.78 = 4,116.60 : x
  2. Step 2: Convert to fraction form
    8,498.70/12,747.78 = 4,116.60/x
  3. Step 3: Cross multiply
    8,498.70x = 12,747.78 × 4,116.60
  4. Step 4: Simplify right side
    8,498.70x = 52,477,511.15
  5. Step 5: Solve for x
    x = 52,477,511.15/8,498.70
  6. Step 6: Final answer
    x = 6,174.77

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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.