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Finding the Fourth Proportional to 11,580, 17,369.97 and 2,814.92

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Solution

The fourth proportional to 11,580, 17,369.97 and 2,814.92 is: 4,222.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,580 : 17,369.97 = 2,814.92 : x
  2. Step 2: Convert to fraction form
    11,580/17,369.97 = 2,814.92/x
  3. Step 3: Cross multiply
    11,580x = 17,369.97 × 2,814.92
  4. Step 4: Simplify right side
    11,580x = 48,894,989.10
  5. Step 5: Solve for x
    x = 48,894,989.10/11,580
  6. Step 6: Final answer
    x = 4,222.37

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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.