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Finding the Fourth Proportional to 13,164.60, 19,749.60 and 4,405.80

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Solution

The fourth proportional to 13,164.60, 19,749.60 and 4,405.80 is: 6,609.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,164.60 : 19,749.60 = 4,405.80 : x
  2. Step 2: Convert to fraction form
    13,164.60/19,749.60 = 4,405.80/x
  3. Step 3: Cross multiply
    13,164.60x = 19,749.60 × 4,405.80
  4. Step 4: Simplify right side
    13,164.60x = 87,012,787.68
  5. Step 5: Solve for x
    x = 87,012,787.68/13,164.60
  6. Step 6: Final answer
    x = 6,609.60

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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.