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Finding the Fourth Proportional to 3,687.69, 5,518.54 and 2,301.68

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Solution

The fourth proportional to 3,687.69, 5,518.54 and 2,301.68 is: 3,444.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.69 : 5,518.54 = 2,301.68 : x
  2. Step 2: Convert to fraction form
    3,687.69/5,518.54 = 2,301.68/x
  3. Step 3: Cross multiply
    3,687.69x = 5,518.54 × 2,301.68
  4. Step 4: Simplify right side
    3,687.69x = 12,701,879.80
  5. Step 5: Solve for x
    x = 12,701,879.80/3,687.69
  6. Step 6: Final answer
    x = 3,444.40

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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.