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Finding the Fourth Proportional to 19,540.70, 29,310.64 and 4,749.70

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Solution

The fourth proportional to 19,540.70, 29,310.64 and 4,749.70 is: 7,124.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,540.70 : 29,310.64 = 4,749.70 : x
  2. Step 2: Convert to fraction form
    19,540.70/29,310.64 = 4,749.70/x
  3. Step 3: Cross multiply
    19,540.70x = 29,310.64 × 4,749.70
  4. Step 4: Simplify right side
    19,540.70x = 139,216,600.25
  5. Step 5: Solve for x
    x = 139,216,600.25/19,540.70
  6. Step 6: Final answer
    x = 7,124.44

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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.