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Finding the Fourth Proportional to 17,188.40, 25,787.40 and 8,423.60

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Solution

The fourth proportional to 17,188.40, 25,787.40 and 8,423.60 is: 12,637.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,188.40 : 25,787.40 = 8,423.60 : x
  2. Step 2: Convert to fraction form
    17,188.40/25,787.40 = 8,423.60/x
  3. Step 3: Cross multiply
    17,188.40x = 25,787.40 × 8,423.60
  4. Step 4: Simplify right side
    17,188.40x = 217,222,742.64
  5. Step 5: Solve for x
    x = 217,222,742.64/17,188.40
  6. Step 6: Final answer
    x = 12,637.75

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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.