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Finding the Fourth Proportional to 23,184, 31,994.10 and 13,760.64

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Solution

The fourth proportional to 23,184, 31,994.10 and 13,760.64 is: 18,989.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,184 : 31,994.10 = 13,760.64 : x
  2. Step 2: Convert to fraction form
    23,184/31,994.10 = 13,760.64/x
  3. Step 3: Cross multiply
    23,184x = 31,994.10 × 13,760.64
  4. Step 4: Simplify right side
    23,184x = 440,259,292.22
  5. Step 5: Solve for x
    x = 440,259,292.22/23,184
  6. Step 6: Final answer
    x = 18,989.79

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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.