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Finding the Fourth Proportional to 19,893.78, 27,447.84 and 12,824.34

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Solution

The fourth proportional to 19,893.78, 27,447.84 and 12,824.34 is: 17,693.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,893.78 : 27,447.84 = 12,824.34 : x
  2. Step 2: Convert to fraction form
    19,893.78/27,447.84 = 12,824.34/x
  3. Step 3: Cross multiply
    19,893.78x = 27,447.84 × 12,824.34
  4. Step 4: Simplify right side
    19,893.78x = 352,000,432.43
  5. Step 5: Solve for x
    x = 352,000,432.43/19,893.78
  6. Step 6: Final answer
    x = 17,693.99

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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.