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Finding the Fourth Proportional to 13,568.77, 20,336.14 and 7,728.67

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Solution

The fourth proportional to 13,568.77, 20,336.14 and 7,728.67 is: 11,583.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,568.77 : 20,336.14 = 7,728.67 : x
  2. Step 2: Convert to fraction form
    13,568.77/20,336.14 = 7,728.67/x
  3. Step 3: Cross multiply
    13,568.77x = 20,336.14 × 7,728.67
  4. Step 4: Simplify right side
    13,568.77x = 157,171,315.13
  5. Step 5: Solve for x
    x = 157,171,315.13/13,568.77
  6. Step 6: Final answer
    x = 11,583.31

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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.