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Finding the Fourth Proportional to 19,978.68, 27,573.12 and 12,025.20

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Solution

The fourth proportional to 19,978.68, 27,573.12 and 12,025.20 is: 16,596.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,978.68 : 27,573.12 = 12,025.20 : x
  2. Step 2: Convert to fraction form
    19,978.68/27,573.12 = 12,025.20/x
  3. Step 3: Cross multiply
    19,978.68x = 27,573.12 × 12,025.20
  4. Step 4: Simplify right side
    19,978.68x = 331,572,282.62
  5. Step 5: Solve for x
    x = 331,572,282.62/19,978.68
  6. Step 6: Final answer
    x = 16,596.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.