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Finding the Fourth Proportional to 3,270.99, 4,899.94 and 1,513.61

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Solution

The fourth proportional to 3,270.99, 4,899.94 and 1,513.61 is: 2,267.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,270.99 : 4,899.94 = 1,513.61 : x
  2. Step 2: Convert to fraction form
    3,270.99/4,899.94 = 1,513.61/x
  3. Step 3: Cross multiply
    3,270.99x = 4,899.94 × 1,513.61
  4. Step 4: Simplify right side
    3,270.99x = 7,416,624.35
  5. Step 5: Solve for x
    x = 7,416,624.35/3,270.99
  6. Step 6: Final answer
    x = 2,267.39

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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.