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Finding the Fourth Proportional to 13,197.92, 19,794.96 and 4,988

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Solution

The fourth proportional to 13,197.92, 19,794.96 and 4,988 is: 7,481.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,197.92 : 19,794.96 = 4,988 : x
  2. Step 2: Convert to fraction form
    13,197.92/19,794.96 = 4,988/x
  3. Step 3: Cross multiply
    13,197.92x = 19,794.96 × 4,988
  4. Step 4: Simplify right side
    13,197.92x = 98,737,260.48
  5. Step 5: Solve for x
    x = 98,737,260.48/13,197.92
  6. Step 6: Final answer
    x = 7,481.27

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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.