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Finding the Fourth Proportional to 13,755.23, 18,993.11 and 8,978.46

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Solution

The fourth proportional to 13,755.23, 18,993.11 and 8,978.46 is: 12,397.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,755.23 : 18,993.11 = 8,978.46 : x
  2. Step 2: Convert to fraction form
    13,755.23/18,993.11 = 8,978.46/x
  3. Step 3: Cross multiply
    13,755.23x = 18,993.11 × 8,978.46
  4. Step 4: Simplify right side
    13,755.23x = 170,528,878.41
  5. Step 5: Solve for x
    x = 170,528,878.41/13,755.23
  6. Step 6: Final answer
    x = 12,397.38

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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.