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Finding the Fourth Proportional to 19,843.76, 29,742.96 and 8,142.50

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Solution

The fourth proportional to 19,843.76, 29,742.96 and 8,142.50 is: 12,204.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,843.76 : 29,742.96 = 8,142.50 : x
  2. Step 2: Convert to fraction form
    19,843.76/29,742.96 = 8,142.50/x
  3. Step 3: Cross multiply
    19,843.76x = 29,742.96 × 8,142.50
  4. Step 4: Simplify right side
    19,843.76x = 242,182,051.80
  5. Step 5: Solve for x
    x = 242,182,051.80/19,843.76
  6. Step 6: Final answer
    x = 12,204.44

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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.