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Finding the Fourth Proportional to 13,687.20, 20,522.94 and 5,357.47

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Solution

The fourth proportional to 13,687.20, 20,522.94 and 5,357.47 is: 8,033.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,687.20 : 20,522.94 = 5,357.47 : x
  2. Step 2: Convert to fraction form
    13,687.20/20,522.94 = 5,357.47/x
  3. Step 3: Cross multiply
    13,687.20x = 20,522.94 × 5,357.47
  4. Step 4: Simplify right side
    13,687.20x = 109,950,989.93
  5. Step 5: Solve for x
    x = 109,950,989.93/13,687.20
  6. Step 6: Final answer
    x = 8,033.12

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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.