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Finding the Fourth Proportional to 14,228.71, 19,644.86 and 12,734.06

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Solution

The fourth proportional to 14,228.71, 19,644.86 and 12,734.06 is: 17,581.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,228.71 : 19,644.86 = 12,734.06 : x
  2. Step 2: Convert to fraction form
    14,228.71/19,644.86 = 12,734.06/x
  3. Step 3: Cross multiply
    14,228.71x = 19,644.86 × 12,734.06
  4. Step 4: Simplify right side
    14,228.71x = 250,158,759.54
  5. Step 5: Solve for x
    x = 250,158,759.54/14,228.71
  6. Step 6: Final answer
    x = 17,581.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.