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Finding the Fourth Proportional to 30,494.88, 45,708.30 and 13,829.94

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Solution

The fourth proportional to 30,494.88, 45,708.30 and 13,829.94 is: 20,729.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,494.88 : 45,708.30 = 13,829.94 : x
  2. Step 2: Convert to fraction form
    30,494.88/45,708.30 = 13,829.94/x
  3. Step 3: Cross multiply
    30,494.88x = 45,708.30 × 13,829.94
  4. Step 4: Simplify right side
    30,494.88x = 632,143,046.50
  5. Step 5: Solve for x
    x = 632,143,046.50/30,494.88
  6. Step 6: Final answer
    x = 20,729.48

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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.