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Finding the Fourth Proportional to 13,912.71, 20,842.92 and 6,884.57

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Solution

The fourth proportional to 13,912.71, 20,842.92 and 6,884.57 is: 10,313.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,912.71 : 20,842.92 = 6,884.57 : x
  2. Step 2: Convert to fraction form
    13,912.71/20,842.92 = 6,884.57/x
  3. Step 3: Cross multiply
    13,912.71x = 20,842.92 × 6,884.57
  4. Step 4: Simplify right side
    13,912.71x = 143,494,541.74
  5. Step 5: Solve for x
    x = 143,494,541.74/13,912.71
  6. Step 6: Final answer
    x = 10,313.92

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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.