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Finding the Fourth Proportional to 10,973.60, 16,449.60 and 5,427.80

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Solution

The fourth proportional to 10,973.60, 16,449.60 and 5,427.80 is: 8,136.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,973.60 : 16,449.60 = 5,427.80 : x
  2. Step 2: Convert to fraction form
    10,973.60/16,449.60 = 5,427.80/x
  3. Step 3: Cross multiply
    10,973.60x = 16,449.60 × 5,427.80
  4. Step 4: Simplify right side
    10,973.60x = 89,285,138.88
  5. Step 5: Solve for x
    x = 89,285,138.88/10,973.60
  6. Step 6: Final answer
    x = 8,136.36

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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.