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Finding the Fourth Proportional to 13,431, 20,146.50 and 5,223

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Solution

The fourth proportional to 13,431, 20,146.50 and 5,223 is: 7,834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,431 : 20,146.50 = 5,223 : x
  2. Step 2: Convert to fraction form
    13,431/20,146.50 = 5,223/x
  3. Step 3: Cross multiply
    13,431x = 20,146.50 × 5,223
  4. Step 4: Simplify right side
    13,431x = 105,225,169.50
  5. Step 5: Solve for x
    x = 105,225,169.50/13,431
  6. Step 6: Final answer
    x = 7,834.50

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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.