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Finding the Fourth Proportional to 8,498.45, 12,743.30 and 3,814.45

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Solution

The fourth proportional to 8,498.45, 12,743.30 and 3,814.45 is: 5,719.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,498.45 : 12,743.30 = 3,814.45 : x
  2. Step 2: Convert to fraction form
    8,498.45/12,743.30 = 3,814.45/x
  3. Step 3: Cross multiply
    8,498.45x = 12,743.30 × 3,814.45
  4. Step 4: Simplify right side
    8,498.45x = 48,608,621.67
  5. Step 5: Solve for x
    x = 48,608,621.67/8,498.45
  6. Step 6: Final answer
    x = 5,719.70

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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.