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Finding the Fourth Proportional to 9,324, 13,991.49 and 4,129.92

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Solution

The fourth proportional to 9,324, 13,991.49 and 4,129.92 is: 6,197.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324 : 13,991.49 = 4,129.92 : x
  2. Step 2: Convert to fraction form
    9,324/13,991.49 = 4,129.92/x
  3. Step 3: Cross multiply
    9,324x = 13,991.49 × 4,129.92
  4. Step 4: Simplify right side
    9,324x = 57,783,734.38
  5. Step 5: Solve for x
    x = 57,783,734.38/9,324
  6. Step 6: Final answer
    x = 6,197.31

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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.