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Finding the Fourth Proportional to 13,671.14, 20,506.70 and 7,823.61

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Solution

The fourth proportional to 13,671.14, 20,506.70 and 7,823.61 is: 11,735.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671.14 : 20,506.70 = 7,823.61 : x
  2. Step 2: Convert to fraction form
    13,671.14/20,506.70 = 7,823.61/x
  3. Step 3: Cross multiply
    13,671.14x = 20,506.70 × 7,823.61
  4. Step 4: Simplify right side
    13,671.14x = 160,436,442.75
  5. Step 5: Solve for x
    x = 160,436,442.75/13,671.14
  6. Step 6: Final answer
    x = 11,735.42

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1.5x scale

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.