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Finding the Fourth Proportional to 13,761.11, 18,998.21 and 9,059.06

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Solution

The fourth proportional to 13,761.11, 18,998.21 and 9,059.06 is: 12,506.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761.11 : 18,998.21 = 9,059.06 : x
  2. Step 2: Convert to fraction form
    13,761.11/18,998.21 = 9,059.06/x
  3. Step 3: Cross multiply
    13,761.11x = 18,998.21 × 9,059.06
  4. Step 4: Simplify right side
    13,761.11x = 172,105,994.43
  5. Step 5: Solve for x
    x = 172,105,994.43/13,761.11
  6. Step 6: Final answer
    x = 12,506.69

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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.