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Finding the Fourth Proportional to 13,867.71, 20,813.92 and 6,476.26

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Solution

The fourth proportional to 13,867.71, 20,813.92 and 6,476.26 is: 9,720.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,867.71 : 20,813.92 = 6,476.26 : x
  2. Step 2: Convert to fraction form
    13,867.71/20,813.92 = 6,476.26/x
  3. Step 3: Cross multiply
    13,867.71x = 20,813.92 × 6,476.26
  4. Step 4: Simplify right side
    13,867.71x = 134,796,357.54
  5. Step 5: Solve for x
    x = 134,796,357.54/13,867.71
  6. Step 6: Final answer
    x = 9,720.16

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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.