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Finding the Fourth Proportional to 14,310.87, 21,472.49 and 7,741.68

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Solution

The fourth proportional to 14,310.87, 21,472.49 and 7,741.68 is: 11,615.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,310.87 : 21,472.49 = 7,741.68 : x
  2. Step 2: Convert to fraction form
    14,310.87/21,472.49 = 7,741.68/x
  3. Step 3: Cross multiply
    14,310.87x = 21,472.49 × 7,741.68
  4. Step 4: Simplify right side
    14,310.87x = 166,233,107.67
  5. Step 5: Solve for x
    x = 166,233,107.67/14,310.87
  6. Step 6: Final answer
    x = 11,615.86

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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.