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Finding the Fourth Proportional to 11,878.96, 17,806.70 and 5,627.98

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Solution

The fourth proportional to 11,878.96, 17,806.70 and 5,627.98 is: 8,436.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878.96 : 17,806.70 = 5,627.98 : x
  2. Step 2: Convert to fraction form
    11,878.96/17,806.70 = 5,627.98/x
  3. Step 3: Cross multiply
    11,878.96x = 17,806.70 × 5,627.98
  4. Step 4: Simplify right side
    11,878.96x = 100,215,751.47
  5. Step 5: Solve for x
    x = 100,215,751.47/11,878.96
  6. Step 6: Final answer
    x = 8,436.41

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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.