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Finding the Fourth Proportional to 12,735.44, 19,099.92 and 4,940

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Solution

The fourth proportional to 12,735.44, 19,099.92 and 4,940 is: 7,408.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,735.44 : 19,099.92 = 4,940 : x
  2. Step 2: Convert to fraction form
    12,735.44/19,099.92 = 4,940/x
  3. Step 3: Cross multiply
    12,735.44x = 19,099.92 × 4,940
  4. Step 4: Simplify right side
    12,735.44x = 94,353,604.80
  5. Step 5: Solve for x
    x = 94,353,604.80/12,735.44
  6. Step 6: Final answer
    x = 7,408.74

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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.