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Finding the Fourth Proportional to 11,861.60, 17,787.60 and 4,066.40

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Solution

The fourth proportional to 11,861.60, 17,787.60 and 4,066.40 is: 6,097.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,861.60 : 17,787.60 = 4,066.40 : x
  2. Step 2: Convert to fraction form
    11,861.60/17,787.60 = 4,066.40/x
  3. Step 3: Cross multiply
    11,861.60x = 17,787.60 × 4,066.40
  4. Step 4: Simplify right side
    11,861.60x = 72,331,496.64
  5. Step 5: Solve for x
    x = 72,331,496.64/11,861.60
  6. Step 6: Final answer
    x = 6,097.95

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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.