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Finding the Fourth Proportional to 43,067.68, 64,597.84 and 11,900

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Solution

The fourth proportional to 43,067.68, 64,597.84 and 11,900 is: 17,848.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,067.68 : 64,597.84 = 11,900 : x
  2. Step 2: Convert to fraction form
    43,067.68/64,597.84 = 11,900/x
  3. Step 3: Cross multiply
    43,067.68x = 64,597.84 × 11,900
  4. Step 4: Simplify right side
    43,067.68x = 768,714,296
  5. Step 5: Solve for x
    x = 768,714,296/43,067.68
  6. Step 6: Final answer
    x = 17,848.98

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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.