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Finding the Fourth Proportional to 19,811.09, 29,659.18 and 15,415.22

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Solution

The fourth proportional to 19,811.09, 29,659.18 and 15,415.22 is: 23,078.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,811.09 : 29,659.18 = 15,415.22 : x
  2. Step 2: Convert to fraction form
    19,811.09/29,659.18 = 15,415.22/x
  3. Step 3: Cross multiply
    19,811.09x = 29,659.18 × 15,415.22
  4. Step 4: Simplify right side
    19,811.09x = 457,202,784.72
  5. Step 5: Solve for x
    x = 457,202,784.72/19,811.09
  6. Step 6: Final answer
    x = 23,078.12

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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.