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Finding the Fourth Proportional to 13,675.97, 20,513.86 and 7,828.45

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Solution

The fourth proportional to 13,675.97, 20,513.86 and 7,828.45 is: 11,742.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,675.97 : 20,513.86 = 7,828.45 : x
  2. Step 2: Convert to fraction form
    13,675.97/20,513.86 = 7,828.45/x
  3. Step 3: Cross multiply
    13,675.97x = 20,513.86 × 7,828.45
  4. Step 4: Simplify right side
    13,675.97x = 160,591,656.46
  5. Step 5: Solve for x
    x = 160,591,656.46/13,675.97
  6. Step 6: Final answer
    x = 11,742.61

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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.