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Finding the Fourth Proportional to 11,212.80, 16,802.04 and 5,650.60

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Solution

The fourth proportional to 11,212.80, 16,802.04 and 5,650.60 is: 8,467.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,212.80 : 16,802.04 = 5,650.60 : x
  2. Step 2: Convert to fraction form
    11,212.80/16,802.04 = 5,650.60/x
  3. Step 3: Cross multiply
    11,212.80x = 16,802.04 × 5,650.60
  4. Step 4: Simplify right side
    11,212.80x = 94,941,607.22
  5. Step 5: Solve for x
    x = 94,941,607.22/11,212.80
  6. Step 6: Final answer
    x = 8,467.25

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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.