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Finding the Fourth Proportional to 19,874.64, 27,424.80 and 11,917.20

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Solution

The fourth proportional to 19,874.64, 27,424.80 and 11,917.20 is: 16,444.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,874.64 : 27,424.80 = 11,917.20 : x
  2. Step 2: Convert to fraction form
    19,874.64/27,424.80 = 11,917.20/x
  3. Step 3: Cross multiply
    19,874.64x = 27,424.80 × 11,917.20
  4. Step 4: Simplify right side
    19,874.64x = 326,826,826.56
  5. Step 5: Solve for x
    x = 326,826,826.56/19,874.64
  6. Step 6: Final answer
    x = 16,444.41

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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.