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Finding the Fourth Proportional to 13,423, 20,137.38 and 5,215

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Solution

The fourth proportional to 13,423, 20,137.38 and 5,215 is: 7,823.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423 : 20,137.38 = 5,215 : x
  2. Step 2: Convert to fraction form
    13,423/20,137.38 = 5,215/x
  3. Step 3: Cross multiply
    13,423x = 20,137.38 × 5,215
  4. Step 4: Simplify right side
    13,423x = 105,016,436.70
  5. Step 5: Solve for x
    x = 105,016,436.70/13,423
  6. Step 6: Final answer
    x = 7,823.62

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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.