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Finding the Fourth Proportional to 22,509.60, 33,715.80 and 12,109.20

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Solution

The fourth proportional to 22,509.60, 33,715.80 and 12,109.20 is: 18,137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.60 : 33,715.80 = 12,109.20 : x
  2. Step 2: Convert to fraction form
    22,509.60/33,715.80 = 12,109.20/x
  3. Step 3: Cross multiply
    22,509.60x = 33,715.80 × 12,109.20
  4. Step 4: Simplify right side
    22,509.60x = 408,271,365.36
  5. Step 5: Solve for x
    x = 408,271,365.36/22,509.60
  6. Step 6: Final answer
    x = 18,137.66

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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.