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Finding the Fourth Proportional to 13,710, 20,565 and 3,321.75

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Solution

The fourth proportional to 13,710, 20,565 and 3,321.75 is: 4,982.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710 : 20,565 = 3,321.75 : x
  2. Step 2: Convert to fraction form
    13,710/20,565 = 3,321.75/x
  3. Step 3: Cross multiply
    13,710x = 20,565 × 3,321.75
  4. Step 4: Simplify right side
    13,710x = 68,311,788.75
  5. Step 5: Solve for x
    x = 68,311,788.75/13,710
  6. Step 6: Final answer
    x = 4,982.63

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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.