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Finding the Fourth Proportional to 5,857.50, 8,787.62 and 1,697.60

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Solution

The fourth proportional to 5,857.50, 8,787.62 and 1,697.60 is: 2,546.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.50 : 8,787.62 = 1,697.60 : x
  2. Step 2: Convert to fraction form
    5,857.50/8,787.62 = 1,697.60/x
  3. Step 3: Cross multiply
    5,857.50x = 8,787.62 × 1,697.60
  4. Step 4: Simplify right side
    5,857.50x = 14,917,811.29
  5. Step 5: Solve for x
    x = 14,917,811.29/5,857.50
  6. Step 6: Final answer
    x = 2,546.79

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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.