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Finding the Fourth Proportional to 10,422.60, 15,633.60 and 3,403.14

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Solution

The fourth proportional to 10,422.60, 15,633.60 and 3,403.14 is: 5,104.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.60 : 15,633.60 = 3,403.14 : x
  2. Step 2: Convert to fraction form
    10,422.60/15,633.60 = 3,403.14/x
  3. Step 3: Cross multiply
    10,422.60x = 15,633.60 × 3,403.14
  4. Step 4: Simplify right side
    10,422.60x = 53,203,329.50
  5. Step 5: Solve for x
    x = 53,203,329.50/10,422.60
  6. Step 6: Final answer
    x = 5,104.61

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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.