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Finding the Fourth Proportional to 11,913.98, 17,842.79 and 10,345.46

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Solution

The fourth proportional to 11,913.98, 17,842.79 and 10,345.46 is: 15,493.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.98 : 17,842.79 = 10,345.46 : x
  2. Step 2: Convert to fraction form
    11,913.98/17,842.79 = 10,345.46/x
  3. Step 3: Cross multiply
    11,913.98x = 17,842.79 × 10,345.46
  4. Step 4: Simplify right side
    11,913.98x = 184,591,729.29
  5. Step 5: Solve for x
    x = 184,591,729.29/11,913.98
  6. Step 6: Final answer
    x = 15,493.71

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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.