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Finding the Fourth Proportional to 5,299.96, 7,911.05 and 4,909

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Solution

The fourth proportional to 5,299.96, 7,911.05 and 4,909 is: 7,327.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.96 : 7,911.05 = 4,909 : x
  2. Step 2: Convert to fraction form
    5,299.96/7,911.05 = 4,909/x
  3. Step 3: Cross multiply
    5,299.96x = 7,911.05 × 4,909
  4. Step 4: Simplify right side
    5,299.96x = 38,835,344.45
  5. Step 5: Solve for x
    x = 38,835,344.45/5,299.96
  6. Step 6: Final answer
    x = 7,327.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.