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Finding the Fourth Proportional to 19,540.83, 29,310.83 and 4,749.83

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Solution

The fourth proportional to 19,540.83, 29,310.83 and 4,749.83 is: 7,124.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,540.83 : 29,310.83 = 4,749.83 : x
  2. Step 2: Convert to fraction form
    19,540.83/29,310.83 = 4,749.83/x
  3. Step 3: Cross multiply
    19,540.83x = 29,310.83 × 4,749.83
  4. Step 4: Simplify right side
    19,540.83x = 139,221,289.36
  5. Step 5: Solve for x
    x = 139,221,289.36/19,540.83
  6. Step 6: Final answer
    x = 7,124.64

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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.