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Finding the Fourth Proportional to 18,657.12, 27,956.35 and 13,029.24

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Solution

The fourth proportional to 18,657.12, 27,956.35 and 13,029.24 is: 19,523.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,657.12 : 27,956.35 = 13,029.24 : x
  2. Step 2: Convert to fraction form
    18,657.12/27,956.35 = 13,029.24/x
  3. Step 3: Cross multiply
    18,657.12x = 27,956.35 × 13,029.24
  4. Step 4: Simplify right side
    18,657.12x = 364,249,993.67
  5. Step 5: Solve for x
    x = 364,249,993.67/18,657.12
  6. Step 6: Final answer
    x = 19,523.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.