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Finding the Fourth Proportional to 13,758.81, 20,639.19 and 6,744.69

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Solution

The fourth proportional to 13,758.81, 20,639.19 and 6,744.69 is: 10,117.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,758.81 : 20,639.19 = 6,744.69 : x
  2. Step 2: Convert to fraction form
    13,758.81/20,639.19 = 6,744.69/x
  3. Step 3: Cross multiply
    13,758.81x = 20,639.19 × 6,744.69
  4. Step 4: Simplify right side
    13,758.81x = 139,204,938.40
  5. Step 5: Solve for x
    x = 139,204,938.40/13,758.81
  6. Step 6: Final answer
    x = 10,117.51

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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.