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Finding the Fourth Proportional to 11,954.49, 18,011.49 and 10,830.16

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Solution

The fourth proportional to 11,954.49, 18,011.49 and 10,830.16 is: 16,317.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,954.49 : 18,011.49 = 10,830.16 : x
  2. Step 2: Convert to fraction form
    11,954.49/18,011.49 = 10,830.16/x
  3. Step 3: Cross multiply
    11,954.49x = 18,011.49 × 10,830.16
  4. Step 4: Simplify right side
    11,954.49x = 195,067,229.58
  5. Step 5: Solve for x
    x = 195,067,229.58/11,954.49
  6. Step 6: Final answer
    x = 16,317.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.