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Finding the Fourth Proportional to 13,211.82, 19,821.03 and 9,323.82

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Solution

The fourth proportional to 13,211.82, 19,821.03 and 9,323.82 is: 13,988.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,211.82 : 19,821.03 = 9,323.82 : x
  2. Step 2: Convert to fraction form
    13,211.82/19,821.03 = 9,323.82/x
  3. Step 3: Cross multiply
    13,211.82x = 19,821.03 × 9,323.82
  4. Step 4: Simplify right side
    13,211.82x = 184,807,715.93
  5. Step 5: Solve for x
    x = 184,807,715.93/13,211.82
  6. Step 6: Final answer
    x = 13,988.06

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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.