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Finding the Fourth Proportional to 19,781.58, 29,678.58 and 12,375.84

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Solution

The fourth proportional to 19,781.58, 29,678.58 and 12,375.84 is: 18,567.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,781.58 : 29,678.58 = 12,375.84 : x
  2. Step 2: Convert to fraction form
    19,781.58/29,678.58 = 12,375.84/x
  3. Step 3: Cross multiply
    19,781.58x = 29,678.58 × 12,375.84
  4. Step 4: Simplify right side
    19,781.58x = 367,297,357.51
  5. Step 5: Solve for x
    x = 367,297,357.51/19,781.58
  6. Step 6: Final answer
    x = 18,567.65

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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.