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Finding the Fourth Proportional to 8,518.48, 12,779.34 and 4,138

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Solution

The fourth proportional to 8,518.48, 12,779.34 and 4,138 is: 6,207.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,518.48 : 12,779.34 = 4,138 : x
  2. Step 2: Convert to fraction form
    8,518.48/12,779.34 = 4,138/x
  3. Step 3: Cross multiply
    8,518.48x = 12,779.34 × 4,138
  4. Step 4: Simplify right side
    8,518.48x = 52,880,908.92
  5. Step 5: Solve for x
    x = 52,880,908.92/8,518.48
  6. Step 6: Final answer
    x = 6,207.79

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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.