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Finding the Fourth Proportional to 11,874.40, 17,811.60 and 5,730.40

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Solution

The fourth proportional to 11,874.40, 17,811.60 and 5,730.40 is: 8,595.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.40 : 17,811.60 = 5,730.40 : x
  2. Step 2: Convert to fraction form
    11,874.40/17,811.60 = 5,730.40/x
  3. Step 3: Cross multiply
    11,874.40x = 17,811.60 × 5,730.40
  4. Step 4: Simplify right side
    11,874.40x = 102,067,592.64
  5. Step 5: Solve for x
    x = 102,067,592.64/11,874.40
  6. Step 6: Final answer
    x = 8,595.60

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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.