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Finding the Fourth Proportional to 19,978.28, 27,561.48 and 12,015.80

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Solution

The fourth proportional to 19,978.28, 27,561.48 and 12,015.80 is: 16,576.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,978.28 : 27,561.48 = 12,015.80 : x
  2. Step 2: Convert to fraction form
    19,978.28/27,561.48 = 12,015.80/x
  3. Step 3: Cross multiply
    19,978.28x = 27,561.48 × 12,015.80
  4. Step 4: Simplify right side
    19,978.28x = 331,173,231.38
  5. Step 5: Solve for x
    x = 331,173,231.38/19,978.28
  6. Step 6: Final answer
    x = 16,576.66

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1.5x scale

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.