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Finding the Fourth Proportional to 13,711.36, 20,568 and 6,784

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Solution

The fourth proportional to 13,711.36, 20,568 and 6,784 is: 10,176.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.36 : 20,568 = 6,784 : x
  2. Step 2: Convert to fraction form
    13,711.36/20,568 = 6,784/x
  3. Step 3: Cross multiply
    13,711.36x = 20,568 × 6,784
  4. Step 4: Simplify right side
    13,711.36x = 139,533,312
  5. Step 5: Solve for x
    x = 139,533,312/13,711.36
  6. Step 6: Final answer
    x = 10,176.47

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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.