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Finding the Fourth Proportional to 18,978.42, 28,467.66 and 5,127.42

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Solution

The fourth proportional to 18,978.42, 28,467.66 and 5,127.42 is: 7,691.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,978.42 : 28,467.66 = 5,127.42 : x
  2. Step 2: Convert to fraction form
    18,978.42/28,467.66 = 5,127.42/x
  3. Step 3: Cross multiply
    18,978.42x = 28,467.66 × 5,127.42
  4. Step 4: Simplify right side
    18,978.42x = 145,965,649.24
  5. Step 5: Solve for x
    x = 145,965,649.24/18,978.42
  6. Step 6: Final answer
    x = 7,691.14

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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.