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Finding the Fourth Proportional to 3,617.92, 5,422.63 and 1,536.63

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Solution

The fourth proportional to 3,617.92, 5,422.63 and 1,536.63 is: 2,303.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.92 : 5,422.63 = 1,536.63 : x
  2. Step 2: Convert to fraction form
    3,617.92/5,422.63 = 1,536.63/x
  3. Step 3: Cross multiply
    3,617.92x = 5,422.63 × 1,536.63
  4. Step 4: Simplify right side
    3,617.92x = 8,332,575.94
  5. Step 5: Solve for x
    x = 8,332,575.94/3,617.92
  6. Step 6: Final answer
    x = 2,303.14

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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.