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Finding the Fourth Proportional to 12,978.72, 19,468.08 and 4,214.52

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Solution

The fourth proportional to 12,978.72, 19,468.08 and 4,214.52 is: 6,321.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,978.72 : 19,468.08 = 4,214.52 : x
  2. Step 2: Convert to fraction form
    12,978.72/19,468.08 = 4,214.52/x
  3. Step 3: Cross multiply
    12,978.72x = 19,468.08 × 4,214.52
  4. Step 4: Simplify right side
    12,978.72x = 82,048,612.52
  5. Step 5: Solve for x
    x = 82,048,612.52/12,978.72
  6. Step 6: Final answer
    x = 6,321.78

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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.