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Finding the Fourth Proportional to 12,920, 17,826.84 and 7,612.88

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Solution

The fourth proportional to 12,920, 17,826.84 and 7,612.88 is: 10,504.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,920 : 17,826.84 = 7,612.88 : x
  2. Step 2: Convert to fraction form
    12,920/17,826.84 = 7,612.88/x
  3. Step 3: Cross multiply
    12,920x = 17,826.84 × 7,612.88
  4. Step 4: Simplify right side
    12,920x = 135,713,593.70
  5. Step 5: Solve for x
    x = 135,713,593.70/12,920
  6. Step 6: Final answer
    x = 10,504.15

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1.5x scale

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.