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Finding the Fourth Proportional to 12,657.84, 18,980.28 and 6,738.09

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Solution

The fourth proportional to 12,657.84, 18,980.28 and 6,738.09 is: 10,103.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,657.84 : 18,980.28 = 6,738.09 : x
  2. Step 2: Convert to fraction form
    12,657.84/18,980.28 = 6,738.09/x
  3. Step 3: Cross multiply
    12,657.84x = 18,980.28 × 6,738.09
  4. Step 4: Simplify right side
    12,657.84x = 127,890,834.87
  5. Step 5: Solve for x
    x = 127,890,834.87/12,657.84
  6. Step 6: Final answer
    x = 10,103.69

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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.