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Finding the Fourth Proportional to 13,706.58, 20,568.06 and 12,591.21

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Solution

The fourth proportional to 13,706.58, 20,568.06 and 12,591.21 is: 18,894.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.58 : 20,568.06 = 12,591.21 : x
  2. Step 2: Convert to fraction form
    13,706.58/20,568.06 = 12,591.21/x
  3. Step 3: Cross multiply
    13,706.58x = 20,568.06 × 12,591.21
  4. Step 4: Simplify right side
    13,706.58x = 258,976,707.13
  5. Step 5: Solve for x
    x = 258,976,707.13/13,706.58
  6. Step 6: Final answer
    x = 18,894.34

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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.