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Finding the Fourth Proportional to 19,975.60, 29,905.80 and 12,199.60

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Solution

The fourth proportional to 19,975.60, 29,905.80 and 12,199.60 is: 18,264.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,975.60 : 29,905.80 = 12,199.60 : x
  2. Step 2: Convert to fraction form
    19,975.60/29,905.80 = 12,199.60/x
  3. Step 3: Cross multiply
    19,975.60x = 29,905.80 × 12,199.60
  4. Step 4: Simplify right side
    19,975.60x = 364,838,797.68
  5. Step 5: Solve for x
    x = 364,838,797.68/19,975.60
  6. Step 6: Final answer
    x = 18,264.22

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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.