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Finding the Fourth Proportional to 13,920.57, 20,834.48 and 11,134.17

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Solution

The fourth proportional to 13,920.57, 20,834.48 and 11,134.17 is: 16,664.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,920.57 : 20,834.48 = 11,134.17 : x
  2. Step 2: Convert to fraction form
    13,920.57/20,834.48 = 11,134.17/x
  3. Step 3: Cross multiply
    13,920.57x = 20,834.48 × 11,134.17
  4. Step 4: Simplify right side
    13,920.57x = 231,974,586.51
  5. Step 5: Solve for x
    x = 231,974,586.51/13,920.57
  6. Step 6: Final answer
    x = 16,664.16

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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.