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Finding the Fourth Proportional to 19,540.74, 29,310.68 and 4,749.74

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Solution

The fourth proportional to 19,540.74, 29,310.68 and 4,749.74 is: 7,124.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,540.74 : 29,310.68 = 4,749.74 : x
  2. Step 2: Convert to fraction form
    19,540.74/29,310.68 = 4,749.74/x
  3. Step 3: Cross multiply
    19,540.74x = 29,310.68 × 4,749.74
  4. Step 4: Simplify right side
    19,540.74x = 139,217,938.92
  5. Step 5: Solve for x
    x = 139,217,938.92/19,540.74
  6. Step 6: Final answer
    x = 7,124.50

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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.