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Finding the Fourth Proportional to 11,913.08, 17,863.02 and 5,345.56

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Solution

The fourth proportional to 11,913.08, 17,863.02 and 5,345.56 is: 8,015.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.08 : 17,863.02 = 5,345.56 : x
  2. Step 2: Convert to fraction form
    11,913.08/17,863.02 = 5,345.56/x
  3. Step 3: Cross multiply
    11,913.08x = 17,863.02 × 5,345.56
  4. Step 4: Simplify right side
    11,913.08x = 95,487,845.19
  5. Step 5: Solve for x
    x = 95,487,845.19/11,913.08
  6. Step 6: Final answer
    x = 8,015.38

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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.